# Relativity in Modern Physics

, by Deruelle, Nathalie; Uzan, Jean-Philippe; de Forcrand-Millard, Patricia**Note:**Supplemental materials are not guaranteed with Rental or Used book purchases.

- ISBN: 9780198786399 | 0198786395
- Cover: Hardcover
- Copyright: 10/30/2018

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.

**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