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 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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