Hjem

Book 1 Space, time, and gravity in Newton's theoryPart I Kinematics1. Cartesian coordinates2. Vector geometry3. Curvilinear coordinates4. Differential geometryPart II Dynamics5. Equations of motion6. Dynamics of massive systems7. Conservation laws8. Lagrangian mechanics9. Hamiltonian mechanics10. Kinetic theoryPart III11. The law of gravitation12. The Kepler problem13. The N-body problem14. Deformations of celestial bodies15. Self-gravitating fluids16. Newtonian cosmology17. Light in Newtonian theoryBook 2 Special relativity and Maxwell's theoryPart I Kinematics1. Minkowski spacetime2. The kinematics of a point particle3. The kinematics of light4. The wave vector of light5. Accelerated framesPart II Dynamics6. Dynamics of a point particle7. Rotating systems8. Fields and matter9. The classical scalar field10. The Nordström theoryPart III Electromagnetism11. The Lorentz force12. The Maxwell equaions13. Constant fields14. The free field15. Electromagnetic waves16. Waves in a mediumPart IV Electrodynamics17. The field of moving charge18. Radiation by a charge19. The radiation reaction force20. Interacting charges I21. Interacting charges II22. Electromagnetism and differential geometryBook 3 General relativity and gravitationPart I Curved spacetime and gravitation1. The equivalence principle2. Riemannian manifolds3. Matter in curved spacetime4. The Einstein equations5. Conservation lawsPart II The Schwarzschild solution and black holes6. The Schwarzchild solution7. The Schwarzchild black hole8. The Kerr solution9. The physics of black holes I10. The physics of black holes IIPart III General relativity and experiment11. Tests in the solar system12. The post-Newtonian approximation13. Gravitational waves and the radiative field14. Gravitational radiation15. The two-body problem and radiative losses16. The two-body problem: an effective-one-body approach: Written in collaboration with Félix-Louis JuliéPart IV Friedmann-Lemaître solutions and cosmology17. Cosmological spacetimes18. Friedmann-Lemaître spacetimes19. The Lambda-CDM model of the hot Big Bang20. Inflationary models of the primordial universe21. Cosmological perturbations22. Primordial quantum perturbationsPart V Elements of Riemannian geometry23. The covariant derivative and the curvature24. Riemannian manifolds25. The Cartan structure equations