Relativity in Modern Physics

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 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 6: Dynamics of a point particle 7: Rotating systems 8: Fields and matter 9: The classical scalar field 10: The Nordström theory Part III Electromagnetism 11: The Lorentz force 12: The Maxwell equaions 13: Constant fields 14: The free field 15: Electromagnetic waves 16: Waves in a medium Part IV Electrodynamics 17: The field of 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 Schwarzchild solution 7: The Schwarzchild 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: Written in collaboration with Félix-Louis Julié Part IV Friedmann-Lemaître solutions and cosmology 17: Cosmological spacetimes 18: Friedmann-Lemaître 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: Riemannian manifolds 25: The Cartan structure equations