Relativity in Modern Physics (Oxford Graduate Texts) by Nathalie Deruelle, Jean-Philippe Uzan, Patricia de Forcrand-Millard in pdf

 Relativity in Modern Physics (Oxford Graduate Texts) by  Nathalie Deruelle, Jean-Philippe Uzan, Patricia de Forcrand-Millard in pdf

this is the book Relativity in Modern Physics (Oxfoyesrd Graduate Texts) in pdf written  by  Nathalie Deruelle, Jean-Philippe Uzan, Patricia de Forcrand-Millard , published by Oxford University Press, 2018 of professors of  science faculties  universities  .

   

Information about the book

Language of the book: English language

Book Title: Relativity in Modern Physics (Oxford Graduate Texts)

Scriptwriter: by Nathalie Deruelle, Jean-Philippe Uzan, Patricia de Forcrand-Millard.

Year of printing:   Oxford University Press, 2018

File Format:PDF

Number of chapters: 25 CHAPTER

Number of pages: 704 pages

File Size: 25,30 MB

Contents

BOOK 1. SPACE, TIME, AND GRAVITY IN NEWTON’S THEORY

PART I KINEMATICS

1 Cartesian coordinates 11

2 Vector geometry 20

3 Curvilinear coordinates 30

4 Differential geometry 41

PART II DYNAMICS

5 Equations of motion 53

6 Dynamics of massive systems 59

7 Conservation laws 65

8 Lagrangian mechanics 73

9 Hamiltonian mechanics 83

10 Kinetic theory 92

PART III GRAVITATION

11 The law of gravitation 101

12 The Kepler problem 110

13 The N-body problem 119

14 Deformations of celestial bodies 128

15 Self-gravitating fluids 139

16 Newtonian cosmology 148

17 Light in Newtonian theory 155

List of books and articles cited in the text 163

BOOK 2. SPECIAL RELATIVITY AND MAXWELL’S THEORY 

A note on the units 175

PART I KINEMATICS

1 Minkowski spacetime 179

2 The kinematics of a point particle 190

3 The kinematics of light 200

4 The wave vector of light 207

5 Accelerated frames 213

PART II DYNAMICS

6 Dynamics of a point particle 227

7 Rotating systems 238

8 Fields and matter 246

9 The classical scalar field 257

10 The Nordstr ̈om theory 266

PART III ELECTROMAGNETISM

11 The Lorentz force 281

12 The Maxwell equations 289

13 Constant fields 298

14 The free field 309

15 Electromagnetic waves 317

16 Waves in a medium 328

PART IV ELECTRODYNAMICS

17 The field of a moving charge 341

18 Radiation by a charge 352

19 The radiation reaction force 361

20 Interacting charges I 367

21 Interacting charges II 375

22 Electromagnetism and differential geometry 383

List of books and articles cited in the text 390

BOOK 3. GENERAL RELATIVITY AND GRAVITATION 395

PART I CURVED SPACETIME AND GRAVITATION

1 The equivalence principle 405

2 Riemannian manifolds 413

3 Matter in curved spacetime 422

4 The Einstein equations 431

5 Conservation laws 443

PART II THE SCHWARZSCHILD SOLUTION AND BLACK HOLES

6 The Schwarzschild solution 455

7 The Schwarzschild black hole 467

8 The Kerr solution 481

9 The physics of black holes I 492

10 The physics of black holes II 501

PART III GENERAL RELATIVITY AND EXPERIMENT

11 Tests in the solar system 513

12 The post-Newtonian approximation 527

13 Gravitational waves and the radiative field 540

14 Gravitational radiation 551

15 The two-body problem and radiative losses 562

16 The two-body problem: an effective-one-body approach 574

PART IV FRIEDMANN–LEMAˆıTRE SOLUTIONS AND COSMOLOGY

17 Cosmological spacetimes 591

18 Friedmann–Lemaˆıtre spacetimes 598

19 The Lambda-CDM model of the hot Big Bang 605

20 Inflationary models of the primordial universe 611

21 Cosmological perturbations 620

22 Primordial quantum perturbations 632

PART V ELEMENTS OF RIEMANNIAN GEOMETRY

23 The covariant derivative and the curvature 647

24 Riemannian manifolds 656

25 The Cartan structure equations

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