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 |
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 |
Bronnikov Kirill A | ||
Singapore ; ; London, : World Scientific, 2012 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Compact stars : nuclear physics, particle physics, and general relativity / Norman K. Glendenning |
Autore | Glendenning, Norman K. |
Edizione | [2nd ed] |
Pubbl/distr/stampa | New York : Springer, c2000 |
Descrizione fisica | xviii, 467 p. : ill. ; 24 cm |
Disciplina | 523.8/874 |
Collana | Astronomy and astrophysics library |
Soggetto topico |
Compact objects (Astronomy)
General relativity (Physics) |
ISBN | 0387989773 (acid-free paper) |
Classificazione |
LC QB843.N4
53.1.52 53.4 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991003335839707536 |
Glendenning, Norman K. | ||
New York : Springer, c2000 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. del Salento | ||
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Complex analysis and dynamical systems V : fifth International Conference on Complex Analysis and Dynamical Systems, May 22-27, 2011, Akko (Acre), Israel / / Mark L. Agranovsky [and eight others], editors |
Pubbl/distr/stampa | Providence, Rhode Island ; ; Ramat-Gan, Israel : , : American Mathematical Society : , : Bar-Ilan University, , 2013 |
Descrizione fisica | 1 online resource (336 p.) |
Disciplina | 515 |
Collana | Contemporary Mathematics |
Soggetto topico |
Numerical analysis
Differential equations, Partial General relativity (Physics) |
Soggetto genere / forma | Electronic books. |
ISBN | 1-4704-0970-4 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""2. Statement of the main result""""3. Proof of the main theorem""; ""4. Concluding remarks""; ""References""; ""Revisiting a General Property of Meromorphic Functions""; ""1. Introduction""; ""2. The key results of Ahlfors theory""; ""3. Simplified version of the proximity property -points of meromorphic functions""; ""References""; ""Reconstruction of Planar Domains from Partial Integral Measurements""; ""1. Introduction""; ""2. One-dimensional case""; ""3. Main result""; ""4. Examples of Explicit Reconstruction""; ""5. Invisible sets and functions""; ""6. Conclusions""; ""References""
""An Introduction to One-Parameter Semigroups in Non-Strictly Convex Domains: The Case of Cartan Factors of Type I\negthinspace V""""1. Continuous Dynamics""; ""2. Cartan Domains of Type I\negthinspace V in â??â?¿""; ""3. Infinitesimal Generators of One Parameter Semigroups: Examples, Classification and Open Problems""; ""References""; ""Remark on a Theorem of Hayman""; ""1. Introduction""; ""2. Approximating ""; ""3. Approximating _{ _{ }}""; ""4. Estimating ( , _{ })- _{ }( )""; ""5. Conclusion of the proof of Theorem 1""; ""References"" ""Univalent Subordination Chains in Reflexive Complex Banach Spaces""""1. Introduction""; ""2. Preliminaries""; ""3. -normalized univalent subordination chains and the generalized Loewner differential equation""; ""4. Solutions to the generalized Loewner differential equation""; ""5. Open problems and conjectures""; ""References""; ""A Note on Muskhelishvili-Vekua Reduction""; ""1. Statement of the problem""; ""2. General description of the method""; ""3. Reduction of the Dirichlet problem""; ""4. Factorisation of symbols""; ""5. Sectorial curves""; ""References"" ""Basic Properties of Monogenic Functions in a Biharmonic Plane""""1. Introduction""; ""2. A constructive description of monogenic functions given in the biharmonic plane""; ""3. Basic analytic properties of monogenic functions of biharmonic variable""; ""References""; ""Bivariate Polynomial Interpolation at the Geronimus Nodes""; ""1. A class of orthogonal polynomials""; ""2. Alternation points for the Geronimus polynomials""; ""3. Interpolation at the Geronimus nodes""; ""4. A general Markov theorem""; ""APPENDIX: Interpolation and Cubature in \ ²""; ""References"" ""The Blumenthal Conjecture"" |
Record Nr. | UNINA-9910480159703321 |
Providence, Rhode Island ; ; Ramat-Gan, Israel : , : American Mathematical Society : , : Bar-Ilan University, , 2013 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Complex analysis and dynamical systems V : fifth International Conference on Complex Analysis and Dynamical Systems, May 22-27, 2011, Akko (Acre), Israel / / Mark L. Agranovsky [and eight others], editors |
Pubbl/distr/stampa | Providence, Rhode Island ; ; Ramat-Gan, Israel : , : American Mathematical Society : , : Bar-Ilan University, , 2013 |
Descrizione fisica | 1 online resource (336 p.) |
Disciplina | 515 |
Collana | Contemporary mathematics |
Soggetto topico |
Numerical analysis
Differential equations, Partial General relativity (Physics) |
ISBN | 1-4704-0970-4 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Table of Contents -- Intro -- Preface -- Conference Program -- Duality and the Class of Holomorphic Functions Representable by Carleman’s Formula -- Quasilinear Symmetric Hyperbolic Fuchsian Systems in Several Space Dimensions -- Revisiting a General Property of Meromorphic Functions -- Reconstruction of Planar Domains from Partial Integral Measurements -- An Introduction to One-Parameter Semigroups in Non-Strictly Convex Domains: The Case of Cartan Factors of Type I\negthinspace V -- References -- Univalent Subordination Chains in Reflexive Complex Banach Spaces -- A Note on Muskhelishvili-Vekua Reduction -- Bivariate Polynomial Interpolation at the Geronimus Nodes -- The Blumenthal Conjecture -- On the Families of Complex Lines Sufficient for Holomorphic Continuation of Functions Defined on a Domain Boundary -- A Revised Proof of Spirallikeness -- A Multidimensional Euler-Maclaurin Formulaand an Application -- Injectivity and Starlikeness of Sections of a Class of Univalent Functions -- A Fixed Point Theorem for Contractive Non-self Mappings-- On Boundary Value Problems for the Beltrami Equations -- Global Extendibility Phenomenon for the Euler-Poisson-Darboux Equation -- On the Zaremba Problem for the -Laplace Operator -- Bisection of Geodesic Segments in Hyperbolic Geometry -- Existence of Solutions for a Class of Infinite Horizon Optimal Control Problems without Discounting Arising in Economic Dynamics. |
Record Nr. | UNINA-9910788900103321 |
Providence, Rhode Island ; ; Ramat-Gan, Israel : , : American Mathematical Society : , : Bar-Ilan University, , 2013 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Complex analysis and dynamical systems V : fifth International Conference on Complex Analysis and Dynamical Systems, May 22-27, 2011, Akko (Acre), Israel / / Mark L. Agranovsky [and eight others], editors |
Pubbl/distr/stampa | Providence, Rhode Island ; ; Ramat-Gan, Israel : , : American Mathematical Society : , : Bar-Ilan University, , 2013 |
Descrizione fisica | 1 online resource (336 p.) |
Disciplina | 515 |
Collana | Contemporary mathematics |
Soggetto topico |
Numerical analysis
Differential equations, Partial General relativity (Physics) |
ISBN | 1-4704-0970-4 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Table of Contents -- Intro -- Preface -- Conference Program -- Duality and the Class of Holomorphic Functions Representable by Carleman’s Formula -- Quasilinear Symmetric Hyperbolic Fuchsian Systems in Several Space Dimensions -- Revisiting a General Property of Meromorphic Functions -- Reconstruction of Planar Domains from Partial Integral Measurements -- An Introduction to One-Parameter Semigroups in Non-Strictly Convex Domains: The Case of Cartan Factors of Type I\negthinspace V -- References -- Univalent Subordination Chains in Reflexive Complex Banach Spaces -- A Note on Muskhelishvili-Vekua Reduction -- Bivariate Polynomial Interpolation at the Geronimus Nodes -- The Blumenthal Conjecture -- On the Families of Complex Lines Sufficient for Holomorphic Continuation of Functions Defined on a Domain Boundary -- A Revised Proof of Spirallikeness -- A Multidimensional Euler-Maclaurin Formulaand an Application -- Injectivity and Starlikeness of Sections of a Class of Univalent Functions -- A Fixed Point Theorem for Contractive Non-self Mappings-- On Boundary Value Problems for the Beltrami Equations -- Global Extendibility Phenomenon for the Euler-Poisson-Darboux Equation -- On the Zaremba Problem for the -Laplace Operator -- Bisection of Geodesic Segments in Hyperbolic Geometry -- Existence of Solutions for a Class of Infinite Horizon Optimal Control Problems without Discounting Arising in Economic Dynamics. |
Record Nr. | UNINA-9910817231803321 |
Providence, Rhode Island ; ; Ramat-Gan, Israel : , : American Mathematical Society : , : Bar-Ilan University, , 2013 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Complex general relativity [[electronic resource] /] / by Giampiero Esposito |
Autore | Esposito Giampiero |
Edizione | [1st ed. 2002.] |
Pubbl/distr/stampa | Dordrecht ; ; Boston, : Kluwer Academic Publishers, c1995 |
Descrizione fisica | 1 online resource (219 p.) |
Disciplina | 530.1/1 |
Collana | Fundamental theories of physics |
Soggetto topico |
General relativity (Physics)
Quantum gravity Supersymmetry |
Soggetto genere / forma | Electronic books. |
ISBN |
1-280-53714-0
9786610537143 0-306-47118-3 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Spinor form of General Relativity -- to Complex Space-Time -- Two-Component Spinor Calculus -- Conformal Gravity -- Holomorphic Ideas in General Relativity -- Twistor spaces -- Penrose Transform for Gravitation -- Torsion and Supersymmetry -- Complex Space-Times with Torsion -- Spin-1/2 Fields in Riemannian Geometries -- Spin-3/2 Potentials -- Mathematical Foundations -- Underlying Mathematical Structures. |
Record Nr. | UNINA-9910454671003321 |
Esposito Giampiero | ||
Dordrecht ; ; Boston, : Kluwer Academic Publishers, c1995 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Complex general relativity [[electronic resource] /] / by Giampiero Esposito |
Autore | Esposito Giampiero |
Edizione | [1st ed. 2002.] |
Pubbl/distr/stampa | Dordrecht ; ; Boston, : Kluwer Academic Publishers, c1995 |
Descrizione fisica | 1 online resource (219 p.) |
Disciplina | 530.1/1 |
Collana | Fundamental theories of physics |
Soggetto topico |
General relativity (Physics)
Quantum gravity Supersymmetry |
ISBN |
1-280-53714-0
9786610537143 0-306-47118-3 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Spinor form of General Relativity -- to Complex Space-Time -- Two-Component Spinor Calculus -- Conformal Gravity -- Holomorphic Ideas in General Relativity -- Twistor spaces -- Penrose Transform for Gravitation -- Torsion and Supersymmetry -- Complex Space-Times with Torsion -- Spin-1/2 Fields in Riemannian Geometries -- Spin-3/2 Potentials -- Mathematical Foundations -- Underlying Mathematical Structures. |
Record Nr. | UNINA-9910780040103321 |
Esposito Giampiero | ||
Dordrecht ; ; Boston, : Kluwer Academic Publishers, c1995 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Complex general relativity [[electronic resource] /] / by Giampiero Esposito |
Autore | Esposito Giampiero |
Edizione | [1st ed. 2002.] |
Pubbl/distr/stampa | Dordrecht ; ; Boston, : Kluwer Academic Publishers, c1995 |
Descrizione fisica | 1 online resource (219 p.) |
Disciplina | 530.1/1 |
Collana | Fundamental theories of physics |
Soggetto topico |
General relativity (Physics)
Quantum gravity Supersymmetry |
ISBN |
1-280-53714-0
9786610537143 0-306-47118-3 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Spinor form of General Relativity -- to Complex Space-Time -- Two-Component Spinor Calculus -- Conformal Gravity -- Holomorphic Ideas in General Relativity -- Twistor spaces -- Penrose Transform for Gravitation -- Torsion and Supersymmetry -- Complex Space-Times with Torsion -- Spin-1/2 Fields in Riemannian Geometries -- Spin-3/2 Potentials -- Mathematical Foundations -- Underlying Mathematical Structures. |
Record Nr. | UNINA-9910816860003321 |
Esposito Giampiero | ||
Dordrecht ; ; Boston, : Kluwer Academic Publishers, c1995 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Conformal vector fields, Ricci solitons and related topics / / Ramesh Sharma, Sharief Deshmukh |
Autore | Sharma Ramesh <1953-> |
Pubbl/distr/stampa | Singapore : , : Springer, , [2024] |
Descrizione fisica | 1 online resource (xi, 158 pages) : illustrations |
Disciplina | 514.74 |
Collana | Infosys science foundation series in mathematical sciences |
Soggetto topico |
Conformal geometry
Global analysis (Mathematics) Manifolds (Mathematics) Ricci flow Geometry, Differential General relativity (Physics) Global Analysis and Analysis on Manifolds Differential Geometry General Relativity |
ISBN |
981-9992-58-3
9789819992584 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | 1 Manifolds and Submanifolds Reviewed -- 2 Lie Group And Lie Derivative -- 3 Conformal Transformations -- 4 Conformal Vector Fields -- 5 Integral Formulas And Conformal Vector Fields. |
Record Nr. | UNINA-9910805583703321 |
Sharma Ramesh <1953-> | ||
Singapore : , : Springer, , [2024] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|