Relativity, Gravitation and Cosmology
A Basic Introduction
Series: Oxford Master Series in Physics; 11;
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Product details:
- Publisher Oxford University Press
- Date of Publication 16 December 2004
- ISBN 9780198529569
- Binding Hardback
- No. of pages356 pages
- Size 246x189x24 mm
- Weight 974 g
- Language English
- Illustrations numerous line figures 0
Categories
Short description:
This book is an introduction to Einstein's general theory of relativity, suitable for advanced undergraduate or beginning graduate courses. The content is structured so that interesting applications, such as gravitational lensing, black holes and cosmology, can be presented without the readers having to first learn the difficult mathematics of tensor calculus. The mathematical accessibility and the presentation of the book make it practical for readers to study the subject on their
own.
Long description:
Einstein's general theory of relativity is introduced in this advanced undergraduate and beginning graduate level textbook. Topics include special relativity in the formalism of Minkowski's four-dimensional space-time, the principle of equivalence, Riemannian geometry and tensor analysis, Einstein field equation and cosmology.
The author presents the subject from the very beginning with an emphasis on physical examples and simple applications without the full tensor apparatus. One first learns how to describe curved spacetime. At this mathematically more accessible level, the reader can already study the many interesting phenomena such as gravitational lensing, precession of Mercury's perihelion, black holes, as well as cosmology. The full tensor formulation is presented later, when the Einstein equation is solved
for a few symmetric cases. Many modern topics in cosmology are discussed in this book: from inflation, cosmic microwave anisotropy to the "dark energy" that propels an accelerating universe.
Mathematical accessibility, together with the various pedagogical devices (e.g., worked-out solutions of chapter-end problems), make it practical for interested readers to use the book to study general relativity and cosmology on their own.
This book represents a basic introduction to the theories of special and general relativity with applcations to cosmology. It is methodically very carefully developed: almost all necessary mathematical items are introduced at the point when they first appear, and they are also explained in words. Every chapter ends with a list of problems useful e.g. as student exercises. Also that modern developments like gravitational lenses and vacuum energy are covered. Hans-Jurgen Schmidt
(Potsfam), Zentralblatt Math Volume 1082 (2006/08)
Table of Contents:
Relativity - metric description of spacetime
Introduction and overview
Special relativity and the flat spacetime
The principle of equivalence
Metric description of a curved space
General relativity (GR) as a geometric theory of gravity - I
Spacetime outside a spherical star
Cosmology
The homogenous and isotropic universe
The expanding universe and thermal relics
Inflation and the accelerating universe
Relativity - full tensor formulation
Tensors in special relativity
Tensors in general relativity
GR as a geometric theory of gravity - II
Linearized theory and gravitational waves
