This comprehensive textbook on relativity integrates Newtonian physics, special relativity and general relativity into a single book. It emphasizes the deep underlying principles common to them all, yet explains how they are applied in different ways in these three contexts.
This comprehensive textbook on relativity integrates Newtonian physics, special relativity and general relativity into a single book. It emphasizes the deep underlying principles common to them all, yet explains how they are applied in different ways in these three contexts.
Nathalie Deruelle is a researcher in Theoretical Physics and Director Research at the CNRS (Centre National de la Recherche Scientifique) in France. She is based at Laboratoire Astroparticules & Cosmologie (APC) at Université Paris VII (Denis-Diderot) and is affiliated professor at the Kyoto Yukawa Institute. Deruelle has lectured at numerous summer schools and universities, including the École Polytechnique and the École Normale Supérieure. Jean-Philippe Uzan is a researcher in Theoretical Physics and Director of Research at the CNRS (Centre National de la Recherche Scientifique) in France. He is currently member of the Institut d'Astrophysique de Paris (IAP) at Université Paris VI (Sorbonne Université). Uzan has taught at several Paris universities, including the École Normale Supérieure, and has published specialized and popular books in physics and cosmology.
Inhaltsangabe
Book 1. SPACE, TIME, AND GRAVITY IN NEWTON'S THEORY Part I KINEMATICS 1: Cartesian coordinates 2: Vector geometry 3: Curvilinear coordinates 4: Differential geometry Part II DYNAMICS 5: Equations of motion 6: Dynamics of massive systems 7: Conservation laws 8: Lagrangian mechanics 9: Hamiltonian mechanics 10: Kinetic theory Part III: GRAVITATION 11: The law of gravitation 12: The Kepler problem 13: The N-body problem 14: Deformations of celestial bodies 15: Self-gravitating fluids 16: Newtonian cosmology 17: Light in Newtonian theory BOOK 2: SPECIAL RELATIVITY AND MAXWELL'S THEORY PART I KINEMATICS 1: Minkowski spacetime 2: The kinematics of a point particle 3: The kinematics of light 4: The wave vector of light 5: Accelerated frames PART II DYNAMICS 5: Dynamics of a point particle 6: Dynamics of a point particle 7: Rotating systems 8: Fields and matter 9: The classical scalar field 10: The Nordstrom theory PART III ELECTROMAGNETISM 11: The Lorentz force 12: The Maxwell equations 13: Constant fields 14: The free field 15: Electromagnetic waves 16: Waves in a medium PART IV ELECTRODYNAMICS 17: The field of a moving charge 18: Radiation by a charge 19: The radiation reaction force 20: Interacting charges I 21: Interacting charges II 22: Electromagnetism and differential geometry BOOK 3. GENERAL RELATIVITY AND GRAVITATION PART I CURVED SPACETIME AND GRAVITATION 1: The equivalence principle 2: Riemannian manifolds 3: Matter in curved spacetime 4: The Einstein equations 5: Conservation laws PART II THE SCHWARZSCHILD SOLUTION AND BLACK HOLES 6: The Schwarzschild solution 7: The Schwarzschild black hole 8: The Kerr solution 9: The physics of black holes I 10: The physics of black holes II PART III GENERAL RELATIVITY AND EXPERIMENT 11: Tests in the solar system 12: The post-Newtonian approximation 13: Gravitational waves and the radiative field 14: Gravitational radiation 15: The two-body problem and radiative losses 16: The two-body problem: an effective-one-body approach PART IV FRIEDMANN-LEMAITRE SOLUTIONS AND COSMOLOGY 17: Cosmological spacetimes 18: Friedmann-Lemaitre spacetimes 19: The Lambda-CDM model of the hot Big Bang 20: Inflationary models of the primordial universe 21: Cosmological perturbations 22: Primordial quantum perturbations PART V ELEMENTS OF RIEMANNIAN GEOMETRY 23: The covariant derivative and the curvature 24: Reimannian manifolds 25: The Cartan structure equations
Book 1. SPACE, TIME, AND GRAVITY IN NEWTON'S THEORY Part I KINEMATICS 1: Cartesian coordinates 2: Vector geometry 3: Curvilinear coordinates 4: Differential geometry Part II DYNAMICS 5: Equations of motion 6: Dynamics of massive systems 7: Conservation laws 8: Lagrangian mechanics 9: Hamiltonian mechanics 10: Kinetic theory Part III: GRAVITATION 11: The law of gravitation 12: The Kepler problem 13: The N-body problem 14: Deformations of celestial bodies 15: Self-gravitating fluids 16: Newtonian cosmology 17: Light in Newtonian theory BOOK 2: SPECIAL RELATIVITY AND MAXWELL'S THEORY PART I KINEMATICS 1: Minkowski spacetime 2: The kinematics of a point particle 3: The kinematics of light 4: The wave vector of light 5: Accelerated frames PART II DYNAMICS 5: Dynamics of a point particle 6: Dynamics of a point particle 7: Rotating systems 8: Fields and matter 9: The classical scalar field 10: The Nordstrom theory PART III ELECTROMAGNETISM 11: The Lorentz force 12: The Maxwell equations 13: Constant fields 14: The free field 15: Electromagnetic waves 16: Waves in a medium PART IV ELECTRODYNAMICS 17: The field of a moving charge 18: Radiation by a charge 19: The radiation reaction force 20: Interacting charges I 21: Interacting charges II 22: Electromagnetism and differential geometry BOOK 3. GENERAL RELATIVITY AND GRAVITATION PART I CURVED SPACETIME AND GRAVITATION 1: The equivalence principle 2: Riemannian manifolds 3: Matter in curved spacetime 4: The Einstein equations 5: Conservation laws PART II THE SCHWARZSCHILD SOLUTION AND BLACK HOLES 6: The Schwarzschild solution 7: The Schwarzschild black hole 8: The Kerr solution 9: The physics of black holes I 10: The physics of black holes II PART III GENERAL RELATIVITY AND EXPERIMENT 11: Tests in the solar system 12: The post-Newtonian approximation 13: Gravitational waves and the radiative field 14: Gravitational radiation 15: The two-body problem and radiative losses 16: The two-body problem: an effective-one-body approach PART IV FRIEDMANN-LEMAITRE SOLUTIONS AND COSMOLOGY 17: Cosmological spacetimes 18: Friedmann-Lemaitre spacetimes 19: The Lambda-CDM model of the hot Big Bang 20: Inflationary models of the primordial universe 21: Cosmological perturbations 22: Primordial quantum perturbations PART V ELEMENTS OF RIEMANNIAN GEOMETRY 23: The covariant derivative and the curvature 24: Reimannian manifolds 25: The Cartan structure equations
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