Nathalie Deruelle, Jean-Philippe Uzan

Relativity in Modern Physics (eBook, PDF)

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Oxford University Press
• Seitenzahl: 704
• Erscheinungstermin: 23. August 2018
• Englisch
• ISBN-13: 9780191089664
• Artikelnr.: 54582966

Autorenporträt

Nathalie Deruelle and Jean-Philippe Uzan are researchers in Theoretical Physics. After a career at the Centre National de la Recherche Scientifique (CNRS) in France, Nathalie Deruelle is now an invited professor at the Université Libre de Bruxelles (ULB). Jean-Philippe Uzan is a CNRS researcher at the Institut d'Astrophysique de Paris (IAP) from Sorbonne Université. They are both affiliated professors at the Kyoto Yukawa Institute (YITP).

Inhaltsangabe

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