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Analytic hyperbolic geometry and Albert Einstein's special theory of relativity [[electronic resource] /] / Abraham Albert Ungar
| Analytic hyperbolic geometry and Albert Einstein's special theory of relativity [[electronic resource] /] / Abraham Albert Ungar |
| Autore | Ungar Abraham A |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, NJ, : World Scientific, c2008 |
| Descrizione fisica | 1 online resource (649 p.) |
| Disciplina | 516.9 |
| Soggetto topico |
Special relativity (Physics)
Geometry, Hyperbolic |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-91199-2
9786611911997 981-277-230-8 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; Preface; Acknowledgements; 1. Introduction; 1.1 A Vector Space Approach to Euclidean Geometry and A Gyrovector Space Approach to Hyperbolic Geometry; 1.2 Gyrolanguage; 1.3 Analytic Hyperbolic Geometry; 1.4 The Three Models; 1.5 Applications in Quantum and Special Relativity Theory; 2. Gyrogroups; 2.1 Definitions; 2.2 First Gyrogroup Theorems; 2.3 The Associative Gyropolygonal Gyroaddition; 2.4 Two Basic Gyrogroup Equations and Cancellation Laws; 2.5 Commuting Automorphisms with Gyroautomorphisms; 2.6 The Gyrosemidirect Product Group; 2.7 Basic Gyration Properties
3. Gyrocommutative Gyrogroups3.1 Gyrocommutative Gyrogroups; 3.2 Nested Gyroautomorphism Identities; 3.3 Two-Divisible Two-Torsion Free Gyrocommutative Gyrogroups; 3.4 From M obius to Gyrogroups; 3.5 Higher Dimensional M obius Gyrogroups; 3.6 M obius gyrations; 3.7 Three-Dimensional M obius gyrations; 3.8 Einstein Gyrogroups; 3.9 Einstein Coaddition; 3.10 PV Gyrogroups; 3.11 Points and Vectors in a Real Inner Product Space; 3.12 Exercises; 4. Gyrogroup Extension; 4.1 Gyrogroup Extension; 4.2 The Gyroinner Product, the Gyronorm, and the Gyroboost; 4.3 The Extended Automorphisms 4.4 Gyrotransformation Groups4.5 Einstein Gyrotransformation Groups; 4.6 PV (Proper Velocity) Gyrotransformation Groups; 4.7 Galilei Transformation Groups; 4.8 From Gyroboosts to Boosts; 4.9 The Lorentz Boost; 4.10 The (p :q)-Gyromidpoint; 4.11 The (p1 :p2 :...: pn)-Gyromidpoint; 5. Gyrovectors and Cogyrovectors; 5.1 Equivalence Classes; 5.2 Gyrovectors; 5.3 Gyrovector Translation; 5.4 Gyrovector Translation Composition; 5.5 Points and Gyrovectors; 5.6 The Gyroparallelogram Addition Law; 5.7 Cogyrovectors; 5.8 Cogyrovector Translation; 5.9 Cogyrovector Translation Composition 5.10 Points and Cogyrovectors5.11 Exercises; 6. Gyrovector Spaces; 6.1 Definition and First Gyrovector Space Theorems; 6.2 Solving a System of Two Equations in a Gyrovector Space; 6.3 Gyrolines and Cogyrolines; 6.4 Gyrolines; 6.5 Gyromidpoints; 6.6 Gyrocovariance; 6.7 Gyroparallelograms; 6.8 Gyrogeodesics; 6.9 Cogyrolines; 6.10 Carrier Cogyrolines of Cogyrovectors; 6.11 Cogyromidpoints; 6.12 Cogyrogeodesics; 6.13 Various Gyrolines and Cancellation Laws; 6.14 M obius Gyrovector Spaces; 6.15 M obius Cogyroline Parallelism; 6.16 Illustrating the Gyroline Gyration Transitive Law 6.17 Turning the M obius Gyrometric into the Poincar e Metric6.18 Einstein Gyrovector Spaces; 6.19 Turning Einstein Gyrometric into a Metric; 6.20 PV(ProperVelocity) Gyrovector Spaces; 6.21 Gyrovector Space Isomorphisms; 6.22 Gyrotriangle Gyromedians and Gyrocentroids; 6.22.1 In Einstein Gyrovector Spaces; 6.22.2 In M obius Gyrovector Spaces; 6.22.3 In PV Gyrovector Spaces; 6.23 Exercises; 7. Rudiments of Differential Geometry; 7.1 The Riemannian Line Element of Euclidean Metric; 7.2 The Gyroline and the Cogyroline Element; 7.3 The Gyroline Element of M obius Gyrovector Spaces 7.4 The Cogyroline Element of M obius Gyrovector Spaces |
| Record Nr. | UNINA-9910453536303321 |
Ungar Abraham A
|
||
| Singapore ; ; Hackensack, NJ, : World Scientific, c2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Analytic hyperbolic geometry and Albert Einstein's special theory of relativity [[electronic resource] /] / Abraham Albert Ungar
| Analytic hyperbolic geometry and Albert Einstein's special theory of relativity [[electronic resource] /] / Abraham Albert Ungar |
| Autore | Ungar Abraham A |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, NJ, : World Scientific, c2008 |
| Descrizione fisica | 1 online resource (649 p.) |
| Disciplina | 516.9 |
| Soggetto topico |
Special relativity (Physics)
Geometry, Hyperbolic |
| ISBN |
1-281-91199-2
9786611911997 981-277-230-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; Preface; Acknowledgements; 1. Introduction; 1.1 A Vector Space Approach to Euclidean Geometry and A Gyrovector Space Approach to Hyperbolic Geometry; 1.2 Gyrolanguage; 1.3 Analytic Hyperbolic Geometry; 1.4 The Three Models; 1.5 Applications in Quantum and Special Relativity Theory; 2. Gyrogroups; 2.1 Definitions; 2.2 First Gyrogroup Theorems; 2.3 The Associative Gyropolygonal Gyroaddition; 2.4 Two Basic Gyrogroup Equations and Cancellation Laws; 2.5 Commuting Automorphisms with Gyroautomorphisms; 2.6 The Gyrosemidirect Product Group; 2.7 Basic Gyration Properties
3. Gyrocommutative Gyrogroups3.1 Gyrocommutative Gyrogroups; 3.2 Nested Gyroautomorphism Identities; 3.3 Two-Divisible Two-Torsion Free Gyrocommutative Gyrogroups; 3.4 From M obius to Gyrogroups; 3.5 Higher Dimensional M obius Gyrogroups; 3.6 M obius gyrations; 3.7 Three-Dimensional M obius gyrations; 3.8 Einstein Gyrogroups; 3.9 Einstein Coaddition; 3.10 PV Gyrogroups; 3.11 Points and Vectors in a Real Inner Product Space; 3.12 Exercises; 4. Gyrogroup Extension; 4.1 Gyrogroup Extension; 4.2 The Gyroinner Product, the Gyronorm, and the Gyroboost; 4.3 The Extended Automorphisms 4.4 Gyrotransformation Groups4.5 Einstein Gyrotransformation Groups; 4.6 PV (Proper Velocity) Gyrotransformation Groups; 4.7 Galilei Transformation Groups; 4.8 From Gyroboosts to Boosts; 4.9 The Lorentz Boost; 4.10 The (p :q)-Gyromidpoint; 4.11 The (p1 :p2 :...: pn)-Gyromidpoint; 5. Gyrovectors and Cogyrovectors; 5.1 Equivalence Classes; 5.2 Gyrovectors; 5.3 Gyrovector Translation; 5.4 Gyrovector Translation Composition; 5.5 Points and Gyrovectors; 5.6 The Gyroparallelogram Addition Law; 5.7 Cogyrovectors; 5.8 Cogyrovector Translation; 5.9 Cogyrovector Translation Composition 5.10 Points and Cogyrovectors5.11 Exercises; 6. Gyrovector Spaces; 6.1 Definition and First Gyrovector Space Theorems; 6.2 Solving a System of Two Equations in a Gyrovector Space; 6.3 Gyrolines and Cogyrolines; 6.4 Gyrolines; 6.5 Gyromidpoints; 6.6 Gyrocovariance; 6.7 Gyroparallelograms; 6.8 Gyrogeodesics; 6.9 Cogyrolines; 6.10 Carrier Cogyrolines of Cogyrovectors; 6.11 Cogyromidpoints; 6.12 Cogyrogeodesics; 6.13 Various Gyrolines and Cancellation Laws; 6.14 M obius Gyrovector Spaces; 6.15 M obius Cogyroline Parallelism; 6.16 Illustrating the Gyroline Gyration Transitive Law 6.17 Turning the M obius Gyrometric into the Poincar e Metric6.18 Einstein Gyrovector Spaces; 6.19 Turning Einstein Gyrometric into a Metric; 6.20 PV(ProperVelocity) Gyrovector Spaces; 6.21 Gyrovector Space Isomorphisms; 6.22 Gyrotriangle Gyromedians and Gyrocentroids; 6.22.1 In Einstein Gyrovector Spaces; 6.22.2 In M obius Gyrovector Spaces; 6.22.3 In PV Gyrovector Spaces; 6.23 Exercises; 7. Rudiments of Differential Geometry; 7.1 The Riemannian Line Element of Euclidean Metric; 7.2 The Gyroline and the Cogyroline Element; 7.3 The Gyroline Element of M obius Gyrovector Spaces 7.4 The Cogyroline Element of M obius Gyrovector Spaces |
| Record Nr. | UNINA-9910782273303321 |
|
Ungar Abraham A
|
||
| Singapore ; ; Hackensack, NJ, : World Scientific, c2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Analytic hyperbolic geometry and Albert Einstein's special theory of relativity [[electronic resource] /] / Abraham Albert Ungar
| Analytic hyperbolic geometry and Albert Einstein's special theory of relativity [[electronic resource] /] / Abraham Albert Ungar |
| Autore | Ungar Abraham A |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, NJ, : World Scientific, c2008 |
| Descrizione fisica | 1 online resource (649 p.) |
| Disciplina | 516.9 |
| Soggetto topico |
Special relativity (Physics)
Geometry, Hyperbolic |
| ISBN |
1-281-91199-2
9786611911997 981-277-230-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; Preface; Acknowledgements; 1. Introduction; 1.1 A Vector Space Approach to Euclidean Geometry and A Gyrovector Space Approach to Hyperbolic Geometry; 1.2 Gyrolanguage; 1.3 Analytic Hyperbolic Geometry; 1.4 The Three Models; 1.5 Applications in Quantum and Special Relativity Theory; 2. Gyrogroups; 2.1 Definitions; 2.2 First Gyrogroup Theorems; 2.3 The Associative Gyropolygonal Gyroaddition; 2.4 Two Basic Gyrogroup Equations and Cancellation Laws; 2.5 Commuting Automorphisms with Gyroautomorphisms; 2.6 The Gyrosemidirect Product Group; 2.7 Basic Gyration Properties
3. Gyrocommutative Gyrogroups3.1 Gyrocommutative Gyrogroups; 3.2 Nested Gyroautomorphism Identities; 3.3 Two-Divisible Two-Torsion Free Gyrocommutative Gyrogroups; 3.4 From M obius to Gyrogroups; 3.5 Higher Dimensional M obius Gyrogroups; 3.6 M obius gyrations; 3.7 Three-Dimensional M obius gyrations; 3.8 Einstein Gyrogroups; 3.9 Einstein Coaddition; 3.10 PV Gyrogroups; 3.11 Points and Vectors in a Real Inner Product Space; 3.12 Exercises; 4. Gyrogroup Extension; 4.1 Gyrogroup Extension; 4.2 The Gyroinner Product, the Gyronorm, and the Gyroboost; 4.3 The Extended Automorphisms 4.4 Gyrotransformation Groups4.5 Einstein Gyrotransformation Groups; 4.6 PV (Proper Velocity) Gyrotransformation Groups; 4.7 Galilei Transformation Groups; 4.8 From Gyroboosts to Boosts; 4.9 The Lorentz Boost; 4.10 The (p :q)-Gyromidpoint; 4.11 The (p1 :p2 :...: pn)-Gyromidpoint; 5. Gyrovectors and Cogyrovectors; 5.1 Equivalence Classes; 5.2 Gyrovectors; 5.3 Gyrovector Translation; 5.4 Gyrovector Translation Composition; 5.5 Points and Gyrovectors; 5.6 The Gyroparallelogram Addition Law; 5.7 Cogyrovectors; 5.8 Cogyrovector Translation; 5.9 Cogyrovector Translation Composition 5.10 Points and Cogyrovectors5.11 Exercises; 6. Gyrovector Spaces; 6.1 Definition and First Gyrovector Space Theorems; 6.2 Solving a System of Two Equations in a Gyrovector Space; 6.3 Gyrolines and Cogyrolines; 6.4 Gyrolines; 6.5 Gyromidpoints; 6.6 Gyrocovariance; 6.7 Gyroparallelograms; 6.8 Gyrogeodesics; 6.9 Cogyrolines; 6.10 Carrier Cogyrolines of Cogyrovectors; 6.11 Cogyromidpoints; 6.12 Cogyrogeodesics; 6.13 Various Gyrolines and Cancellation Laws; 6.14 M obius Gyrovector Spaces; 6.15 M obius Cogyroline Parallelism; 6.16 Illustrating the Gyroline Gyration Transitive Law 6.17 Turning the M obius Gyrometric into the Poincar e Metric6.18 Einstein Gyrovector Spaces; 6.19 Turning Einstein Gyrometric into a Metric; 6.20 PV(ProperVelocity) Gyrovector Spaces; 6.21 Gyrovector Space Isomorphisms; 6.22 Gyrotriangle Gyromedians and Gyrocentroids; 6.22.1 In Einstein Gyrovector Spaces; 6.22.2 In M obius Gyrovector Spaces; 6.22.3 In PV Gyrovector Spaces; 6.23 Exercises; 7. Rudiments of Differential Geometry; 7.1 The Riemannian Line Element of Euclidean Metric; 7.2 The Gyroline and the Cogyroline Element; 7.3 The Gyroline Element of M obius Gyrovector Spaces 7.4 The Cogyroline Element of M obius Gyrovector Spaces |
| Record Nr. | UNINA-9910825818303321 |
|
Ungar Abraham A
|
||
| Singapore ; ; Hackensack, NJ, : World Scientific, c2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Beyond pseudo-rotations in pseudo-euclidean spaces : an introduction to the theory of bi-gyrogroups and bi-gyrovector spaces / / Abraham A. Ungar
| Beyond pseudo-rotations in pseudo-euclidean spaces : an introduction to the theory of bi-gyrogroups and bi-gyrovector spaces / / Abraham A. Ungar |
| Autore | Ungar Abraham A. |
| Pubbl/distr/stampa | London, England : , : Academic Press, , 2018 |
| Descrizione fisica | 1 online resource (420 pages) : illustrations |
| Disciplina | 530.11 |
| Collana | Mathematical Analysis and its Applications |
| Soggetto topico |
Special relativity (Physics)
Geometry, Hyperbolic |
| ISBN |
0-12-811774-5
0-12-811773-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. Introduction -- 2. Einstein gyrogroups -- 3. Einstein gyrovector spaces -- 4. Bi-gyrogroups and bi-gyrovector spaces - P -- 5. . Bi-gyrogroups and bi-gyrovector spaces - V -- 6. Applications to time-space of signature (m,n) -- 7. Analytic bi-hyperbolic geometry : the geometry of bi-gyrovector spaces. |
| Record Nr. | UNINA-9910583474603321 |
|
Ungar Abraham A.
|
||
| London, England : , : Academic Press, , 2018 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Beyond the Einstein addition law and its gyroscopic Thomas precession [[electronic resource] ] : the theory of gyrogroups and gyrovector spaces / / by Abraham A. Ungar
| Beyond the Einstein addition law and its gyroscopic Thomas precession [[electronic resource] ] : the theory of gyrogroups and gyrovector spaces / / by Abraham A. Ungar |
| Autore | Ungar Abraham A |
| Edizione | [1st ed. 2002.] |
| Pubbl/distr/stampa | Dordrecht ; ; Boston, : Kluwer Academic Publishers, c2001 |
| Descrizione fisica | 1 online resource (462 p.) |
| Disciplina | 530.11 |
| Collana | Fundamental theories of physics |
| Soggetto topico |
Special relativity (Physics)
Geometry, Hyperbolic |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-280-20689-6
9786610206896 0-306-47134-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Thomas Precession: The Missing Link -- Gyrogroups: Modeled on Einstein’S Addition -- The Einstein Gyrovector Space -- Hyperbolic Geometry of Gyrovector Spaces -- The Ungar Gyrovector Space -- The MÖbius Gyrovector Space -- Gyrogeometry -- Gyrooprations — the SL(2, c) Approach -- The Cocycle Form -- The Lorentz Group and its Abstraction -- The Lorentz Transformation Link -- Other Lorentz Groups. |
| Record Nr. | UNINA-9910454579603321 |
|
Ungar Abraham A
|
||
| Dordrecht ; ; Boston, : Kluwer Academic Publishers, c2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Beyond the Einstein addition law and its gyroscopic Thomas precession [[electronic resource] ] : the theory of gyrogroups and gyrovector spaces / / by Abraham A. Ungar
| Beyond the Einstein addition law and its gyroscopic Thomas precession [[electronic resource] ] : the theory of gyrogroups and gyrovector spaces / / by Abraham A. Ungar |
| Autore | Ungar Abraham A |
| Edizione | [1st ed. 2002.] |
| Pubbl/distr/stampa | Dordrecht ; ; Boston, : Kluwer Academic Publishers, c2001 |
| Descrizione fisica | 1 online resource (462 p.) |
| Disciplina | 530.11 |
| Collana | Fundamental theories of physics |
| Soggetto topico |
Special relativity (Physics)
Geometry, Hyperbolic |
| ISBN |
1-280-20689-6
9786610206896 0-306-47134-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Thomas Precession: The Missing Link -- Gyrogroups: Modeled on Einstein’S Addition -- The Einstein Gyrovector Space -- Hyperbolic Geometry of Gyrovector Spaces -- The Ungar Gyrovector Space -- The MÖbius Gyrovector Space -- Gyrogeometry -- Gyrooprations — the SL(2, c) Approach -- The Cocycle Form -- The Lorentz Group and its Abstraction -- The Lorentz Transformation Link -- Other Lorentz Groups. |
| Record Nr. | UNINA-9910780045803321 |
|
Ungar Abraham A
|
||
| Dordrecht ; ; Boston, : Kluwer Academic Publishers, c2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Beyond the Einstein addition law and its gyroscopic Thomas precession [[electronic resource] ] : the theory of gyrogroups and gyrovector spaces / / by Abraham A. Ungar
| Beyond the Einstein addition law and its gyroscopic Thomas precession [[electronic resource] ] : the theory of gyrogroups and gyrovector spaces / / by Abraham A. Ungar |
| Autore | Ungar Abraham A |
| Edizione | [1st ed. 2002.] |
| Pubbl/distr/stampa | Dordrecht ; ; Boston, : Kluwer Academic Publishers, c2001 |
| Descrizione fisica | 1 online resource (462 p.) |
| Disciplina | 530.11 |
| Collana | Fundamental theories of physics |
| Soggetto topico |
Special relativity (Physics)
Geometry, Hyperbolic |
| ISBN |
1-280-20689-6
9786610206896 0-306-47134-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Thomas Precession: The Missing Link -- Gyrogroups: Modeled on Einstein’S Addition -- The Einstein Gyrovector Space -- Hyperbolic Geometry of Gyrovector Spaces -- The Ungar Gyrovector Space -- The MÖbius Gyrovector Space -- Gyrogeometry -- Gyrooprations — the SL(2, c) Approach -- The Cocycle Form -- The Lorentz Group and its Abstraction -- The Lorentz Transformation Link -- Other Lorentz Groups. |
| Record Nr. | UNINA-9910826693203321 |
|
Ungar Abraham A
|
||
| Dordrecht ; ; Boston, : Kluwer Academic Publishers, c2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Black holes, cosmology and extra dimensions [[electronic resource] /] / Kirill A. Bronnikov and Sergey G. Rubin
| Black holes, cosmology and extra dimensions [[electronic resource] /] / Kirill A. Bronnikov and Sergey G. Rubin |
| Autore | Bronnikov Kirill A |
| Pubbl/distr/stampa | Singapore ; ; London, : World Scientific, 2012 |
| Descrizione fisica | 1 online resource (442 p.) |
| Disciplina | 523 |
| Altri autori (Persone) | RubinSergei G |
| Soggetto topico |
General relativity (Physics)
Special relativity (Physics) Black holes (Astronomy) Wormholes (Physics) Gravitation Cosmology |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-283-73936-4
981-4374-21-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; Notations; Chapter 1. Modern ideas of gravitation and cosmology - a brief essay; Einstein after Einstein; The technological breakthrough; To quantize or not?; The zoo of theories; Gravitation and the Universe; Part I Gravitation; Chapter 2. Fundamentals of general relativity; 2.1 Special relativity.Minkowski geometry; 2.1.1 Geometry; 2.1.2 Coordinate transformations; 2.1.3 Kinematic effects; 2.1.4 Elements of relativistic point mechanics; 2.2 Riemannian space-time. Coordinate systems and reference frames; 2.2.1 Covariance, maps and atlases; 2.2.2 Reference frames and relativity
2.2.3 Reference frames and chronometric invariants2.2.4 Covariance and relativity; 2.3 Riemannian space-time. Curvature; 2.4 The gravitational field action and dynamic equations; 2.4.1 The Einstein equations; 2.4.2 Geodesic equations; 2.4.3 The correspondence principle; 2.5 Macroscopic matter and nongravitational fields in GR; 2.5.1 Perfect fluid; 2.5.2 Scalar fields; 2.5.3 The electromagnetic field; 2.6 The most symmetric spaces; 2.6.1 Isometry groups and killing vectors; 2.6.2 Isotropic cosmology. The dS and AdS spaces; Chapter 3. Spherically symmetric space-times. Black holes 3.1 Spherically symmetric gravitational fields3.1.1 A regular centre and asymptotic flatness; 3.2 The Reissner-Nordstrom-(anti-)de Sitter solution; 3.2.1 Solution of the Einstein equations; 3.2.2 Special cases; The (anti-)de Sitter metric; The Schwarzschild metric and the Newton law; The Reissner-Nordstrom metric; Metrics with a nonzero cosmological constant; 3.3 Horizons and geodesics in static, spherically symmetric space-times; 3.3.1 The general form of geodesic equations; 3.3.2 Horizons, geodesics and the quasiglobal coordinate; 3.3.3 Transitions to Lemaıtre reference frames 3.3.4 Horizons, R- and T-regions3.4 Schwarzschild black holes. Geodesics and a global description; 3.4.1 R- and T-regions; 3.4.2 Geodesics in the R-region; 3.4.3 Particle capture by a black hole; 3.4.4 A global description: The Kruskal metric; 3.4.5 From Kruskal to Carter-Penrose diagram for the Schwarzschild metric; 3.5 The global causal structure of space-times with horizons; 3.5.1 Crossing the horizon in the general case; 3.5.2 Construction of Carter-Penrose diagrams; 3.6 A black hole as a result of gravitational collapse; 3.6.1 Internal and external regions. Birkhoff's theorem 3.6.2 Gravitational collapse of a spherical dust cloudChapter 4. Black holes under more general conditions; 4.1 Black holes andmassless scalar fields; 4.1.1 The general STT and the Wagoner transformations; On phantom fields; 4.1.2 Minimally coupled scalar fields; 4.1.3 Conformally coupled scalar field; Solutions with nonconformal coupling; 4.1.4 Anomalous (phantom) fields. The anti-Fisher solution; 4.1.5 Cold black holes in the anti-Fisher solution; 4.1.6 Vacuum and electrovacuum in Brans-Dicke theory; 4.1.7 Summary for massless scalar fields 4.2 Scalar fields with arbitrary potentials. No-go theorems |
| Record Nr. | UNINA-9910464781103321 |
|
Bronnikov Kirill A
|
||
| Singapore ; ; London, : World Scientific, 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Black holes, cosmology and extra dimensions [[electronic resource] /] / Kirill A. Bronnikov and Sergey G. Rubin
| Black holes, cosmology and extra dimensions [[electronic resource] /] / Kirill A. Bronnikov and Sergey G. Rubin |
| Autore | Bronnikov Kirill A |
| Pubbl/distr/stampa | Singapore ; ; London, : World Scientific, 2012 |
| Descrizione fisica | 1 online resource (442 p.) |
| Disciplina | 523 |
| Altri autori (Persone) | RubinSergei G |
| Soggetto topico |
General relativity (Physics)
Special relativity (Physics) Black holes (Astronomy) Wormholes (Physics) Gravitation Cosmology |
| ISBN |
1-283-73936-4
981-4374-21-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; Notations; Chapter 1. Modern ideas of gravitation and cosmology - a brief essay; Einstein after Einstein; The technological breakthrough; To quantize or not?; The zoo of theories; Gravitation and the Universe; Part I Gravitation; Chapter 2. Fundamentals of general relativity; 2.1 Special relativity.Minkowski geometry; 2.1.1 Geometry; 2.1.2 Coordinate transformations; 2.1.3 Kinematic effects; 2.1.4 Elements of relativistic point mechanics; 2.2 Riemannian space-time. Coordinate systems and reference frames; 2.2.1 Covariance, maps and atlases; 2.2.2 Reference frames and relativity
2.2.3 Reference frames and chronometric invariants2.2.4 Covariance and relativity; 2.3 Riemannian space-time. Curvature; 2.4 The gravitational field action and dynamic equations; 2.4.1 The Einstein equations; 2.4.2 Geodesic equations; 2.4.3 The correspondence principle; 2.5 Macroscopic matter and nongravitational fields in GR; 2.5.1 Perfect fluid; 2.5.2 Scalar fields; 2.5.3 The electromagnetic field; 2.6 The most symmetric spaces; 2.6.1 Isometry groups and killing vectors; 2.6.2 Isotropic cosmology. The dS and AdS spaces; Chapter 3. Spherically symmetric space-times. Black holes 3.1 Spherically symmetric gravitational fields3.1.1 A regular centre and asymptotic flatness; 3.2 The Reissner-Nordstrom-(anti-)de Sitter solution; 3.2.1 Solution of the Einstein equations; 3.2.2 Special cases; The (anti-)de Sitter metric; The Schwarzschild metric and the Newton law; The Reissner-Nordstrom metric; Metrics with a nonzero cosmological constant; 3.3 Horizons and geodesics in static, spherically symmetric space-times; 3.3.1 The general form of geodesic equations; 3.3.2 Horizons, geodesics and the quasiglobal coordinate; 3.3.3 Transitions to Lemaıtre reference frames 3.3.4 Horizons, R- and T-regions3.4 Schwarzschild black holes. Geodesics and a global description; 3.4.1 R- and T-regions; 3.4.2 Geodesics in the R-region; 3.4.3 Particle capture by a black hole; 3.4.4 A global description: The Kruskal metric; 3.4.5 From Kruskal to Carter-Penrose diagram for the Schwarzschild metric; 3.5 The global causal structure of space-times with horizons; 3.5.1 Crossing the horizon in the general case; 3.5.2 Construction of Carter-Penrose diagrams; 3.6 A black hole as a result of gravitational collapse; 3.6.1 Internal and external regions. Birkhoff's theorem 3.6.2 Gravitational collapse of a spherical dust cloudChapter 4. Black holes under more general conditions; 4.1 Black holes andmassless scalar fields; 4.1.1 The general STT and the Wagoner transformations; On phantom fields; 4.1.2 Minimally coupled scalar fields; 4.1.3 Conformally coupled scalar field; Solutions with nonconformal coupling; 4.1.4 Anomalous (phantom) fields. The anti-Fisher solution; 4.1.5 Cold black holes in the anti-Fisher solution; 4.1.6 Vacuum and electrovacuum in Brans-Dicke theory; 4.1.7 Summary for massless scalar fields 4.2 Scalar fields with arbitrary potentials. No-go theorems |
| Record Nr. | UNINA-9910789348303321 |
|
Bronnikov Kirill A
|
||
| Singapore ; ; London, : World Scientific, 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Black holes, cosmology and extra dimensions [[electronic resource] /] / Kirill A. Bronnikov and Sergey G. Rubin
| Black holes, cosmology and extra dimensions [[electronic resource] /] / Kirill A. Bronnikov and Sergey G. Rubin |
| Autore | Bronnikov Kirill A |
| Pubbl/distr/stampa | Singapore ; ; London, : World Scientific, 2012 |
| Descrizione fisica | 1 online resource (442 p.) |
| Disciplina | 523 |
| Altri autori (Persone) | RubinSergei G |
| Soggetto topico |
General relativity (Physics)
Special relativity (Physics) Black holes (Astronomy) Wormholes (Physics) Gravitation Cosmology |
| ISBN |
1-283-73936-4
981-4374-21-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; Notations; Chapter 1. Modern ideas of gravitation and cosmology - a brief essay; Einstein after Einstein; The technological breakthrough; To quantize or not?; The zoo of theories; Gravitation and the Universe; Part I Gravitation; Chapter 2. Fundamentals of general relativity; 2.1 Special relativity.Minkowski geometry; 2.1.1 Geometry; 2.1.2 Coordinate transformations; 2.1.3 Kinematic effects; 2.1.4 Elements of relativistic point mechanics; 2.2 Riemannian space-time. Coordinate systems and reference frames; 2.2.1 Covariance, maps and atlases; 2.2.2 Reference frames and relativity
2.2.3 Reference frames and chronometric invariants2.2.4 Covariance and relativity; 2.3 Riemannian space-time. Curvature; 2.4 The gravitational field action and dynamic equations; 2.4.1 The Einstein equations; 2.4.2 Geodesic equations; 2.4.3 The correspondence principle; 2.5 Macroscopic matter and nongravitational fields in GR; 2.5.1 Perfect fluid; 2.5.2 Scalar fields; 2.5.3 The electromagnetic field; 2.6 The most symmetric spaces; 2.6.1 Isometry groups and killing vectors; 2.6.2 Isotropic cosmology. The dS and AdS spaces; Chapter 3. Spherically symmetric space-times. Black holes 3.1 Spherically symmetric gravitational fields3.1.1 A regular centre and asymptotic flatness; 3.2 The Reissner-Nordstrom-(anti-)de Sitter solution; 3.2.1 Solution of the Einstein equations; 3.2.2 Special cases; The (anti-)de Sitter metric; The Schwarzschild metric and the Newton law; The Reissner-Nordstrom metric; Metrics with a nonzero cosmological constant; 3.3 Horizons and geodesics in static, spherically symmetric space-times; 3.3.1 The general form of geodesic equations; 3.3.2 Horizons, geodesics and the quasiglobal coordinate; 3.3.3 Transitions to Lemaıtre reference frames 3.3.4 Horizons, R- and T-regions3.4 Schwarzschild black holes. Geodesics and a global description; 3.4.1 R- and T-regions; 3.4.2 Geodesics in the R-region; 3.4.3 Particle capture by a black hole; 3.4.4 A global description: The Kruskal metric; 3.4.5 From Kruskal to Carter-Penrose diagram for the Schwarzschild metric; 3.5 The global causal structure of space-times with horizons; 3.5.1 Crossing the horizon in the general case; 3.5.2 Construction of Carter-Penrose diagrams; 3.6 A black hole as a result of gravitational collapse; 3.6.1 Internal and external regions. Birkhoff's theorem 3.6.2 Gravitational collapse of a spherical dust cloudChapter 4. Black holes under more general conditions; 4.1 Black holes andmassless scalar fields; 4.1.1 The general STT and the Wagoner transformations; On phantom fields; 4.1.2 Minimally coupled scalar fields; 4.1.3 Conformally coupled scalar field; Solutions with nonconformal coupling; 4.1.4 Anomalous (phantom) fields. The anti-Fisher solution; 4.1.5 Cold black holes in the anti-Fisher solution; 4.1.6 Vacuum and electrovacuum in Brans-Dicke theory; 4.1.7 Summary for massless scalar fields 4.2 Scalar fields with arbitrary potentials. No-go theorems |
| Record Nr. | UNINA-9910818802903321 |
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Bronnikov Kirill A
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| Singapore ; ; London, : World Scientific, 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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