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An Introduction to General Relativity : London Mathematical Society Student Texts - L. P. Hughston

An Introduction to General Relativity

London Mathematical Society Student Texts

Paperback

Published: 1st April 1991
RRP $72.95
$71.75
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This long-awaited textbook offers a concise one-semester introduction to basic general relativity suitable for mathematics and physics undergraduates. Emphasis is placed on the student's development of both a solid physical grasp of the subject and a sophisticated calculational facility. The text is supplemented by numerous geometrical diagrams and by a large selection of challenging exercises and problems.

"...the authors guide the novice along a careful, well-planned route that provides a pleasing balance between the demands of the mathematics and those of the physics." Mathematical Reviews "...very readable...more emphasis is placed on an intuitive grasp of the subject and a calculational facility than on a rigorous mathematical exposition." Quarterly of Applied MAthematics, Brown University

Introductionp. 1
Vectors and tensors in flat three-spacep. 10
Aspects of special relativistic geometryp. 24
Tensor analysis on manifoldsp. 46
Covariant differentiationp. 53
Properties of the Riemann tensorp. 57
Riemannian geometryp. 62
The Lie derivativep. 67
Geodesicsp. 71
Geodesic deviationp. 76
Differential formsp. 85
The transition from Newtonian theoryp. 92
Einstein's field equationsp. 96
The slow-motion approximationp. 101
The Schwarzschild solutionp. 104
Gravitational red-shift and time dilationp. 109
The geodesic equation for the Schwarzschild solutionp. 112
Classical testsp. 117
The extended Schwarzschild solutionp. 126
Black holes and gravitational collapsep. 133
Interior solutionsp. 137
The Kerr solutionp. 142
Homogeneous and isotropic three-spacesp. 151
Cosmology: kinematicsp. 155
Cosmology: dynamicsp. 163
Anisotropic cosmologiesp. 170
Indexp. 180
Table of Contents provided by Syndetics. All Rights Reserved.

ISBN: 9780521339438
ISBN-10: 052133943X
Series: London Mathematical Society Student Texts
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 192
Published: 1st April 1991
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 23.5 x 15.88  x 1.27
Weight (kg): 0.23