Relativity in Modern Physics
Series: Oxford Graduate Texts;
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Product details:
- Publisher OUP Oxford
- Date of Publication 12 November 2024
- ISBN 9780198939788
- Binding Paperback
- No. of pages704 pages
- Size 245x170x36 mm
- Weight 1232 g
- Language English 662
Categories
Short description:
This comprehensive textbook on relativity integrates Newtonian physics, special relativity and general relativity into a single book. It emphasizes the deep underlying principles common to them all, yet explains how they are applied in different ways in these three contexts.
MoreLong description:
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.
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.
Table of Contents:
Book 1 Space, time, and gravity in Newton's theory
Part I Kinematics
Cartesian coordinates
Vector geometry
Curvilinear coordinates
Differential geometry
Part II Dynamics
Equations of motion
Dynamics of massive systems
Conservation laws
Lagrangian mechanics
Hamiltonian mechanics
Kinetic theory
Part III
The law of gravitation
The Kepler problem
The N-body problem
Deformations of celestial bodies
Self-gravitating fluids
Newtonian cosmology
Light in Newtonian theory
Book 2 Special relativity and Maxwell's theory
Part I Kinematics
Minkowski spacetime
The kinematics of a point particle
The kinematics of light
The wave vector of light
Accelerated frames
Part II Dynamics
Dynamics of a point particle
Rotating systems
Fields and matter
The classical scalar field
The Nordström theory
Part III Electromagnetism
The Lorentz force
The Maxwell equaions
Constant fields
The free field
Electromagnetic waves
Waves in a medium
Part IV Electrodynamics
The field of moving charge
Radiation by a charge
The radiation reaction force
Interacting charges I
Interacting charges II
Electromagnetism and differential geometry
Book 3 General relativity and gravitation
Part I Curved spacetime and gravitation
The equivalence principle
Riemannian manifolds
Matter in curved spacetime
The Einstein equations
Conservation laws
Part II The Schwarzschild solution and black holes
The Schwarzchild solution
The Schwarzchild black hole
The Kerr solution
The physics of black holes I
The physics of black holes II
Part III General relativity and experiment
Tests in the solar system
The post-Newtonian approximation
Gravitational waves and the radiative field
Gravitational radiation
The two-body problem and radiative losses
The two-body problem: an effective-one-body approach: Written in collaboration with Félix-Louis Julié
Part IV Friedmann-Lemaître solutions and cosmology
Cosmological spacetimes
Friedmann-Lemaître spacetimes
The Lambda-CDM model of the hot Big Bang
Inflationary models of the primordial universe
Cosmological perturbations
Primordial quantum perturbations
Part V Elements of Riemannian geometry
The covariant derivative and the curvature
Riemannian manifolds
The Cartan structure equations
