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E-grāmata: Relativity in Modern Physics

(Director of research, CNRS, Laboratory Astroparticle and Cosmology (APC) at the University Paris 7.), (Director of Research, CNRS, Institut d'Astrophysique de Paris), Translated by
  • Formāts: 704 pages
  • Sērija : Oxford Graduate Texts
  • Izdošanas datums: 23-Aug-2018
  • Izdevniecība: Oxford University Press
  • Valoda: eng
  • ISBN-13: 9780191089664
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  • Formāts: 704 pages
  • Sērija : Oxford Graduate Texts
  • Izdošanas datums: 23-Aug-2018
  • Izdevniecība: Oxford University Press
  • Valoda: eng
  • ISBN-13: 9780191089664
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This comprehensive textbook on relativity integrates Newtonian physics, special relativity and general relativity into a single book that emphasizes the deep underlying principles common to them all, yet explains how they are applied in different ways in these three contexts.

Newton's ideas about how to represent space and time, his laws of dynamics, and his theory of gravitation established the conceptual foundation from which modern physics developed. Book I in this volume offers undergraduates a modern view of Newtonian theory, emphasizing those aspects needed for understanding quantum and relativistic contemporary physics.

In 1905, Albert Einstein proposed a novel representation of space and time, special relativity. Book II presents relativistic dynamics in inertial and accelerated frames, as well as a detailed overview of Maxwell's theory of electromagnetism. This provides undergraduate and graduate students with the background necessary for studying particle and accelerator physics, astrophysics and Einstein's theory of general relativity.

In 1915, Einstein proposed a new theory of gravitation, general relativity. Book III in this volume develops the geometrical framework in which Einstein's equations are formulated, and presents several key applications: black holes, gravitational radiation, and cosmology, which will prepare graduate students to carry out research in relativistic astrophysics, gravitational wave astronomy, and cosmology.

Recenzijas

a very rich book: All notions like relativity, space and time are carefully explained, their history is mentioned by giving plenty of footnotes. The mathematical side, the experimental side, and the view of the theoretical physicist are presented adequately at the respective places. * Hans-Jürgen Schmidt, zbMath * It brings together, in a coherent way, classical Newtonian physics, special relativity and general relativity, emphasising common underlying principles. * Virginia Greco, CERN Courier *

BOOK 1 SPACE, TIME, AND GRAVITY IN NEWTON'S THEORY
1(10)
PART I KINEMATICS
1 Cartesian coordinates
11(9)
2 Vector geometry
20(10)
3 Curvilinear coordinates
30(11)
4 Differential geometry
41(12)
PART II DYNAMICS
5 Equations of motion
53(6)
6 Dynamics of massive systems
59(6)
7 Conservation laws
65(8)
8 Lagrangian mechanics
73(10)
9 Hamiltonian mechanics
83(9)
10 Kinetic theory
92(9)
PART III GRAVITATION
11 The law of gravitation
101(9)
12 The Kepler problem
110(9)
13 The N-body problem
119(9)
14 Deformations of celestial bodies
128(11)
15 Self-gravitating fluids
139(9)
16 Newtonian cosmology
148(7)
17 Light in Newtonian theory
155(12)
List of books and articles cited in the text
163(4)
BOOK 2 SPECIAL RELATIVITY AND MAXWELL'S THEORY
167(12)
A note on the units
175(4)
PART I KINEMATICS
1 Minkowski spacetime
179(11)
2 The kinematics of a point particle
190(10)
3 The kinematics of light
200(7)
4 The wave vector of light
207(6)
5 Accelerated frames
213(14)
PART II DYNAMICS
6 Dynamics of a point particle
227(11)
7 Rotating systems
238(8)
8 Fields and matter
246(11)
9 The classical scalar field
257(9)
10 The Nordstrom theory
266(15)
PART III ELECTROMAGNETISM
11 The Lorentz force
281(8)
12 The Maxwell equations
289(9)
13 Constant fields
298(11)
14 The free field
309(8)
15 Electromagnetic waves
317(11)
16 Waves in a medium
328(13)
PART IV ELECTRODYNAMICS
17 The field of a moving charge
341(11)
18 Radiation by a charge
352(9)
19 The radiation reaction force
361(6)
20 Interacting charges I
367(8)
21 Interacting charges II
375(8)
22 Electromagnetism and differential geometry
383(12)
List of books and articles cited in the text
390(5)
BOOK 3 GENERAL RELATIVITY AND GRAVITATION
395(10)
PART I CURVED SPACETIME AND GRAVITATION
1 The equivalence principle
405(8)
2 Riemannian manifolds
413(9)
3 Matter in curved spacetime
422(9)
4 The Einstein equations
431(12)
5 Conservation laws
443(12)
PART II THE SCHWARZSCHILD SOLUTION AND BLACK HOLES
6 The Schwarzschild solution
455(12)
7 The Schwarzschild black hole
467(14)
8 The Kerr solution
481(11)
9 The physics of black holes I
492(9)
10 The physics of black holes II
501(12)
PART III GENERAL RELATIVITY AND EXPERIMENT
11 Tests in the solar system
513(14)
12 The post-Newtonian approximation
527(13)
13 Gravitational waves and the radiative field
540(11)
14 Gravitational radiation
551(11)
15 The two-body problem and radiative losses
562(12)
16 The two-body problem: an effective-one-body approach
574(17)
Felix-Louis Julie
PART IV FRIEDMAN N-LEMATTRE SOLUTIONS AND COSMOLOGY
17 Cosmological spacetimes
591(7)
18 Friedmann-Lemaitre spacetimes
598(7)
19 The Lambda-CDM model of the hot Big Bang
605(6)
20 Inflationary models of the primordial universe
611(9)
21 Cosmological perturbations
620(12)
22 Primordial quantum perturbations
632(15)
PART V ELEMENTS OF RIEMANNIAN GEOMETRY
23 The covariant derivative and the curvature
647(9)
24 Riemannian manifolds
656(6)
25 The Cartan structure equations
662(6)
List of books and articles cited in the text 668(11)
Index 679
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 Université Paris VII (Denis-Diderot) and is affiliated professor at the Kyoto Yukawa Institute. Deruelle has lectured at numerous summer schools and universities, including the École Polytechnique and the École Normale Supérieure.

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