Advanced General Relativity

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Cambridge University Press, Nov 26, 1993 - Science - 228 pages
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A modern self-contained introduction to key topics in advanced general relativity. The opening chapter reviews the subject, with strong emphasis on the geometric structures underlying the theory. The next chapter discusses 2-component spinor theory, its usefulness for describing zero-mass fields, its practical application via Newman-Penrose formalism, together with examples and applications. The subsequent chapter is an account of the asymptotic theory far from a strong gravitational source, describing the mathematical theory by which measurements of the far-field and gravitational radiation emanating from a source can be used to describe the source itself. The final chapter describes the natural characteristic initial value problem, first in general terms, and then with particular emphasis for relativity, concluding with its relation to Arnold's singularity theory. Exercises are included.
 

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Contents

II
1
IV
3
V
8
VI
12
VII
14
VIII
17
IX
25
X
29
XXVI
116
XXVII
122
XXVIII
124
XXIX
127
XXX
131
XXXI
133
XXXII
139
XXXIII
143

XI
32
XII
40
XIII
46
XIV
52
XV
55
XVI
62
XVII
64
XVIII
71
XIX
76
XX
80
XXI
89
XXII
96
XXIII
100
XXIV
105
XXV
113
XXXIV
149
XXXV
155
XXXVI
160
XXXVII
167
XXXIX
173
XL
177
XLI
183
XLII
193
XLIII
198
XLIV
201
XLV
213
XLVI
216
XLVII
222
XLVIII
225
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