Introduction to General Relativistic and Scalar-tensor Cosmologies (Google eBook)

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Nova Publishers, 2007 - Mathematics - 266 pages
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This book offers an introduction to General Relativity and its mathematical tools, together with an introduction to relativistic and scalar-tensor cosmologies. Part I deals with Tensor Calculus. Part II introduces General Relativity Theory, while Part III deals with Relativistic Cosmology. In Part IV we work Scalar-Tensor theories, concentrating in Cosmological Models. In the last chapters, the cosmological models presented, become more and more sophisticated, including some new cases, never published elsewhere, in which all fundamental "constants" are made to vary, with the age of the Universe, namely, the gravitational, the cosmological, the coupling Brans-Dicke "constants", the speed of light, Planck's "fine -structure "constant" alpha" etc. This is a mathematical cosmology textbook that may lead undergraduates, and graduate students, to one of the frontiers of research, while keeping the prerequisites to a minimum, because most of the theory in the book requires only prior knowledge of Calculus and a University Physics course.
  

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Contents

III
3
IV
7
V
9
VI
11
VII
13
VIII
14
IX
15
X
19
XLIX
104
L
107
LI
112
LII
115
LIII
117
LIV
121
LV
123
LVI
125

XI
21
XII
22
XIII
24
XIV
25
XV
27
XVI
29
XVII
32
XVIII
33
XIX
37
XX
42
XXI
46
XXII
48
XXIII
49
XXIV
53
XXV
55
XXVI
57
XXVIII
60
XXIX
61
XXX
63
XXXI
65
XXXII
66
XXXIII
68
XXXIV
70
XXXV
73
XXXVI
75
XXXVII
76
XXXVIII
79
XXXIX
82
XL
86
XLI
88
XLII
90
XLIV
92
XLV
93
XLVI
95
XLVII
100
XLVIII
102
LVII
129
LVIII
134
LIX
137
LX
139
LXI
141
LXII
144
LXIII
145
LXIV
147
LXV
150
LXVI
154
LXVII
157
LXVIII
160
LXIX
162
LXX
163
LXXI
167
LXXII
169
LXXIII
171
LXXIV
175
LXXV
176
LXXVI
177
LXXVII
179
LXXVIII
185
LXXIX
186
LXXX
188
LXXXI
190
LXXXII
194
LXXXIII
196
LXXXIV
200
LXXXV
203
LXXXVI
209
LXXXVII
211
LXXXVIII
212
LXXXIX
213
XC
223
XCI
261
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Page iii - Happy is the man that findeth wisdom, and the man that getteth understanding. For the merchandise of it is better than the merchandise of silver, and the gain thereof than fine gold.
Page 7 - X" with an arbitrary tensor is a tensor, then X is a tensor".
Page 238 - Is it e or is it c ? Experimental Tests of Varying Alpha, 2002.

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