Relativity in Modern Physics

by Deruelle, Nathalie; Uzan, Jean-Philippe; de Forcrand-Millard, Patricia

• ISBN13: 9780198786399
• ISBN10: 0198786395
• Format: Hardcover
• Copyright: 2018-10-30
• Publisher: Oxford University Press

Author Biography

Nathalie Deruelle, Director of research, CNRS, Laboratory "Astroparticle and Cosmology" (APC) at the University Paris 7.,Jean-Philippe Uzan, Director of Research, CNRS, Institut d'Astrophysique de Paris

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 Universite Paris VII (Denis-Diderot) and is affiliated professor at the Kyoto Yukawa Institute. Deruelle has lectured at numerous summer schools and universities, including the Ecole Polytechnique and the Ecole Normale Superieure.

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 Universite Paris VI (Sorbonne Universite). Uzan has taught at several Paris universities, including the Ecole Normale Superieure, and has published specialized and popular books in physics and cosmology.

Table of Contents

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