Info
- Utilizzare la checkbox di selezione a fianco di ciascun documento per attivare le funzionalità di stampa, invio email, download nei formati disponibili del (i) record.
General relativity and the Einstein equations [[electronic resource] /] / Yvonne Choquet-Bruhat
| General relativity and the Einstein equations [[electronic resource] /] / Yvonne Choquet-Bruhat |
| Autore | Choquet-Bruhat Yvonne |
| Pubbl/distr/stampa | Oxford ; ; New York, : Oxford University Press, 2009 |
| Descrizione fisica | 1 online resource (812 p.) |
| Disciplina | 530.11 |
| Collana | Oxford mathematical monographs |
| Soggetto topico |
General relativity (Physics) - Mathematics
Einstein field equations |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-99870-2
9786611998707 0-19-155226-7 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
CONTENTS; I: Lorentz geometry; 1 Introduction; 2 Manifolds; 3 Differentiable mappings; 4 Vectors and tensors; 4.1 Tangent and cotangent space; 4.2 Vector fields; 4.3 Tensors and tensor fields; 5 Pseudo-Riemannian metrics; 5.1 General properties; 5.2 Riemannian and Lorentzian metrics; 6 Riemannian connection; 7 Geodesics; 8 Curvature; 9 Geodesic deviation; 10 Maximum of length and conjugate points; 11 Linearized Ricci and Einstein tensors; 12 Second derivative of the Ricci tensor; II: Special Relativity; 1 Newton's mechanics; 1.1 The Galileo-Newton spacetime
1.2 Newton's dynamics - the Galileo group2 Maxwell's equations; 3 Minkowski spacetime; 3.1 Definition; 3.2 Maxwell's equations on M[sub(4)]; 4 Poincaré group; 5 Lorentz group; 5.1 General formulae; 5.2 Transformation of electric and magnetic vector fields (case n = 3); 5.3 Lorentz contraction and dilatation; 6 Special Relativity; 6.1 Proper time; 6.2 Proper frame and relative velocities; 7 Dynamics of a pointlike mass; 7.1 Newtonian law; 7.2 Relativistic law; 7.3 Equivalence of mass and energy; 8 Continuous matter; 8.1 Case of dust (incoherent matter); 8.2 Perfect fluids III: General relativity and Einstein's equations1 Introduction; 2 Newton's gravity law; 3 General relativity; 3.1 Physical motivations; 4 Observations and experiments; 4.1 Deviation of light rays; 4.2 Proper time, gravitational time delay; 5 Einstein's equations; 5.1 Vacuum case; 5.2 Equations with sources; 6 Field sources; 6.1 Electromagnetic sources; 6.2 Electromagnetic potential; 6.3 Yang-Mills fields; 6.4 Scalar fields; 6.5 Wave maps; 6.6 Energy conditions; 7 Lagrangians; 7.1 Einstein-Hilbert Lagrangian; 7.2 Lagrangians and stress energy tensors of sources; 7.3 Coupled Lagrangian 8 Fluid sources9 Einsteinian spacetimes; 9.1 Definition; 9.2 Regularity hypotheses; 10 Newtonian approximation; 10.1 Equations for potentials; 10.2 Equations of motion; 11 Gravitational waves; 11.1 Minkowskian approximation; 11.2 General linear waves; 12 High-frequency gravitational waves; 12.1 Phase and polarizations; 12.2 Radiative coordinates; 12.3 Energy conservation; 13 Coupled electromagnetic and gravitational waves; 13.1 Phase and polarizations; 13.2 Propagation equations; IV: Schwarzschild spacetime and black holes; 1 Introduction; 2 Spherically symmetric spacetimes 3 Schwarzschild metric4 Other coordinates; 4.1 Isotropic coordinates; 4.2 Wave coordinates; 4.3 Painlevé-Gullstrand-like coordinates; 4.4 Regge-Wheeler coordinates; 5 Schwarzschild spacetime; 6 The motion of the planets and perihelion precession; 6.1 Equations; 6.2 Results of observations; 6.3 Escape velocity; 7 Stability of circular orbits; 8 Deflection of light rays; 8.1 Theoretical prediction; 8.2 Results of observation; 8.3 Fermat's principle and light travel parameter time; 9 Red shift and time delay; 10 Spherically symmetric interior solutions; 10.1 Static solutions. Upper limit on mass 10.2 Matching with an exterior solution |
| Record Nr. | UNINA-9910465797503321 |
Choquet-Bruhat Yvonne
|
||
| Oxford ; ; New York, : Oxford University Press, 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
General relativity and the Einstein equations [[electronic resource] /] / Yvonne Choquet-Bruhat
| General relativity and the Einstein equations [[electronic resource] /] / Yvonne Choquet-Bruhat |
| Autore | Choquet-Bruhat Yvonne |
| Pubbl/distr/stampa | Oxford ; ; New York, : Oxford University Press, 2009 |
| Descrizione fisica | xxiv, 785 p. : ill |
| Collana | Oxford mathematical monographs |
| Soggetto topico |
General relativity (Physics) - Mathematics
Einstein field equations |
| ISBN |
9780191552267
0191552267 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910795716303321 |
|
Choquet-Bruhat Yvonne
|
||
| Oxford ; ; New York, : Oxford University Press, 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Introduction to general relativity, black holes, and cosmology / / Yvonne Choquet-Bruhat ; with a foreword by Thibault Damour
| Introduction to general relativity, black holes, and cosmology / / Yvonne Choquet-Bruhat ; with a foreword by Thibault Damour |
| Autore | Choquet-Bruhat Yvonne |
| Pubbl/distr/stampa | Oxford, England : , : Oxford University Press, , 2015 |
| Descrizione fisica | 1 online resource (301 p.) |
| Disciplina | 530.11 |
| Soggetto topico | Relativity (Physics) |
| Soggetto genere / forma | Electronic books. |
| ISBN |
0-19-966645-8
0-19-164452-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Foreword; Preface; Notation; Contents; Part A Fundamentals; I Riemannian and Lorentzian geometry; I.1 Introduction; I.2 Differentiable manifolds and mappings; I.2.1 Differentiable manifolds; I.2.2 Differentiable mappings; I.2.3 Submanifolds; I.2.4 Tangent and cotangent spaces; I.2.5 Vector fields and 1-forms; I.2.6 Moving frames; I.3 Tensors and tensor fields; I.3.1 Tensors, products and contraction; I.3.2 Tensor fields. Pullback and Lie derivative; I.3.3 Exterior forms; I.4 Structure coefficients of moving frames; I.5 Pseudo-Riemannian metrics; I.5.1 General properties
I.5.2 Riemannian metricsI.5.3 Lorentzian metrics; I.6 Causality; I.6.1 Causal and null cones; I.6.2 Future and past; I.6.3 Spacelike submanifolds; I.6.4 Length and geodesics; I.7 Connections; I.7.1 Linear connection; I.7.2 Riemannian connection; I.8 Geodesics, another definition; I.8.1 Pseudo-Riemannian manifolds; I.8.2 Riemannian manifolds; I.8.3 Lorentzian manifolds; I.9 Curvature; I.9.1 Definitions; I.9.2 Symmetries and antisymmetries; I.9.3 Differential Bianchi identity and contractions; I.10 Geodesic deviation; I.11 Linearized Ricci tensor; I.11.1 Linearized Bianchi identities I.12 Physical commentI.13 Solutions of selected exercises; I.14 Problems; I.14.1 Liouville theorem; I.14.2 Codifferential δ and Laplacian of an exterior form; I.14.3 Geodesic normal coordinates; I.14.4 Cases d=1, 2, and 3; I.14.5 Wave equation satisfied by the Riemann tensor; I.14.6 The Bel-Robinson tensor; I.14.7 The Weyl tensor; I.14.8 The Cotton-York tensor; I.14.9 Linearization of the Riemann tensor; I.14.10 Second derivative of the Ricci tensor; II Special relativity; II.1 Introduction; II.2 Newtonian mechanics; II.2.1 The Galileo-Newton Spacetime II.2.2 Newtonian dynamics. Galileo groupII.2.3 Physical comment; II.2.4 The Maxwell equations in Galileo-Newton spacetime; II.3 The Lorentz and Poincaré groups; II.4 Lorentz contraction and dilation; II.5 Electromagnetic field and Maxwell equations in Minkowski spacetime M4; II.6 Maxwell equations in arbitrary dimensions; II.7 Special Relativity; II.7.1 Proper time; II.7.2 Proper frame and relative velocities; II.8 Some physical comments; II.9 Dynamics of a pointlike mass; II.9.1 Newtonian law; II.9.2 Relativistic law; II.9.3 Newtonian approximation of the relativistic equation II.9.4 Equivalence of mass and energyII.9.5 Particles with zero rest mass; II.10 Continuous matter; II.10.1 Case of dust (incoherent matter), massive particles; II.10.2 Perfect fluids; II.10.3 Yang-Mills fields; II.11 Problems; II.11.1 Lorentz transformation of the Maxwell equations; II.11.2 The relativistic Doppler-Fizeau effect; III General Relativity; III.1 Introduction; III.2 Principle of general covariance; III.3 The Galileo-Newton equivalence principle; III.4 General Relativity; III.4.1 Einstein equivalence principles; III.4.2 Conclusion; III.5 Constants and units of measurement III.6 Classical fields in General Relativity |
| Record Nr. | UNINA-9910463789403321 |
|
Choquet-Bruhat Yvonne
|
||
| Oxford, England : , : Oxford University Press, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Introduction to general relativity, black holes, and cosmology / / Yvonne Choquet-Bruhat ; with a foreword by Thibault Damour
| Introduction to general relativity, black holes, and cosmology / / Yvonne Choquet-Bruhat ; with a foreword by Thibault Damour |
| Autore | Choquet-Bruhat Yvonne |
| Pubbl/distr/stampa | Oxford, England : , : Oxford University Press, , 2015 |
| Descrizione fisica | 1 online resource (301 p.) |
| Disciplina | 530.11 |
| Soggetto topico | Relativity (Physics) |
| ISBN |
0-19-164453-6
0-19-966645-8 0-19-164452-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Foreword; Preface; Notation; Contents; Part A Fundamentals; I Riemannian and Lorentzian geometry; I.1 Introduction; I.2 Differentiable manifolds and mappings; I.2.1 Differentiable manifolds; I.2.2 Differentiable mappings; I.2.3 Submanifolds; I.2.4 Tangent and cotangent spaces; I.2.5 Vector fields and 1-forms; I.2.6 Moving frames; I.3 Tensors and tensor fields; I.3.1 Tensors, products and contraction; I.3.2 Tensor fields. Pullback and Lie derivative; I.3.3 Exterior forms; I.4 Structure coefficients of moving frames; I.5 Pseudo-Riemannian metrics; I.5.1 General properties
I.5.2 Riemannian metricsI.5.3 Lorentzian metrics; I.6 Causality; I.6.1 Causal and null cones; I.6.2 Future and past; I.6.3 Spacelike submanifolds; I.6.4 Length and geodesics; I.7 Connections; I.7.1 Linear connection; I.7.2 Riemannian connection; I.8 Geodesics, another definition; I.8.1 Pseudo-Riemannian manifolds; I.8.2 Riemannian manifolds; I.8.3 Lorentzian manifolds; I.9 Curvature; I.9.1 Definitions; I.9.2 Symmetries and antisymmetries; I.9.3 Differential Bianchi identity and contractions; I.10 Geodesic deviation; I.11 Linearized Ricci tensor; I.11.1 Linearized Bianchi identities I.12 Physical commentI.13 Solutions of selected exercises; I.14 Problems; I.14.1 Liouville theorem; I.14.2 Codifferential δ and Laplacian of an exterior form; I.14.3 Geodesic normal coordinates; I.14.4 Cases d=1, 2, and 3; I.14.5 Wave equation satisfied by the Riemann tensor; I.14.6 The Bel-Robinson tensor; I.14.7 The Weyl tensor; I.14.8 The Cotton-York tensor; I.14.9 Linearization of the Riemann tensor; I.14.10 Second derivative of the Ricci tensor; II Special relativity; II.1 Introduction; II.2 Newtonian mechanics; II.2.1 The Galileo-Newton Spacetime II.2.2 Newtonian dynamics. Galileo groupII.2.3 Physical comment; II.2.4 The Maxwell equations in Galileo-Newton spacetime; II.3 The Lorentz and Poincaré groups; II.4 Lorentz contraction and dilation; II.5 Electromagnetic field and Maxwell equations in Minkowski spacetime M4; II.6 Maxwell equations in arbitrary dimensions; II.7 Special Relativity; II.7.1 Proper time; II.7.2 Proper frame and relative velocities; II.8 Some physical comments; II.9 Dynamics of a pointlike mass; II.9.1 Newtonian law; II.9.2 Relativistic law; II.9.3 Newtonian approximation of the relativistic equation II.9.4 Equivalence of mass and energyII.9.5 Particles with zero rest mass; II.10 Continuous matter; II.10.1 Case of dust (incoherent matter), massive particles; II.10.2 Perfect fluids; II.10.3 Yang-Mills fields; II.11 Problems; II.11.1 Lorentz transformation of the Maxwell equations; II.11.2 The relativistic Doppler-Fizeau effect; III General Relativity; III.1 Introduction; III.2 Principle of general covariance; III.3 The Galileo-Newton equivalence principle; III.4 General Relativity; III.4.1 Einstein equivalence principles; III.4.2 Conclusion; III.5 Constants and units of measurement III.6 Classical fields in General Relativity |
| Record Nr. | UNINA-9910652700803321 |
|
Choquet-Bruhat Yvonne
|
||
| Oxford, England : , : Oxford University Press, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||