Introduction to General Relativistic and Scalar-tensor CosmologiesNova Publishers, 2007 - Počet stran: 266 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. |
Obsah
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 |
261 | |
Běžně se vyskytující výrazy a sousloví
acceleration according apply B.D. theory Barrow becomes Berman Brans-Dicke calculation called Chapter components condition consider constant coordinate cosmic cosmological constant cosmological models covariant deceleration parameter define definition derivative ds² early Einstein's energy density equivalent expanding exponential expression fact field equations flat fluid geodesic geometry given gravitational gravitational field gravitational waves impose inertial inflation integration Lagrangian light limit mass matter means metric metric tensor negative neutrinos Newtonian null obey observations obtain origin particle particular perfect perturbations Phys Physics positive possible potential present pressure principle problem rank reader reduce reference relation Relativity represents result Robertson-Walker's metric scalar field solution space spacetime Special Special Relativity speed stands static studied suppose term theoretical theory transformation Universe usual valid variable variation varying vector write zero
Oblíbené pasáže
Strana 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.
Strana 7 - X" with an arbitrary tensor is a tensor, then X is a tensor".
Strana 238 - Is it e or is it c ? Experimental Tests of Varying Alpha, 2002.