General Relativity: A Geometric ApproachCambridge University Press, 28 de mai. de 1999 - 217 páginas Starting with the idea of an event and finishing with a description of the standard big-bang model of the Universe, this textbook provides a clear, concise and up-to-date introduction to the theory of general relativity, suitable for final-year undergraduate mathematics or physics students. Throughout, the emphasis is on the geometric structure of spacetime, rather than the traditional coordinate-dependent approach. This allows the theory to be pared down and presented in its simplest and most elegant form. Topics covered include flat spacetime (special relativity), Maxwell fields, the energy-momentum tensor, spacetime curvature and gravity, Schwarzschild and Kerr spacetimes, black holes and singularities, and cosmology. In developing the theory, all physical assumptions are clearly spelled out and the necessary mathematics is developed along with the physics. Exercises are provided at the end of each chapter and key ideas in the text are illustrated with worked examples. Solutions and hints to selected problems are also provided at the end of the book. This textbook will enable the student to develop a sound understanding of the theory of general relativity, and all the necessary mathematical machinery. |
Conteúdo
III | 3 |
IV | 11 |
V | 12 |
VI | 13 |
VII | 15 |
VIII | 17 |
IX | 19 |
XI | 21 |
LII | 103 |
LIII | 105 |
LIV | 106 |
LVI | 109 |
LVII | 113 |
LVIII | 115 |
LX | 122 |
LXI | 126 |
XIII | 23 |
XIV | 26 |
XV | 27 |
XVII | 28 |
XVIII | 35 |
XIX | 38 |
XX | 40 |
XXI | 41 |
XXII | 43 |
XXIII | 44 |
XXIV | 47 |
XXV | 48 |
XXVI | 50 |
XXVII | 51 |
XXIX | 56 |
XXX | 59 |
XXXI | 61 |
XXXII | 62 |
XXXIII | 64 |
XXXIV | 67 |
XXXV | 69 |
XXXVII | 70 |
XXXVIII | 74 |
XXXIX | 78 |
XL | 79 |
XLII | 81 |
XLIV | 85 |
XLV | 86 |
XLVI | 89 |
XLVII | 93 |
XLVIII | 95 |
XLIX | 96 |
LI | 99 |
LXII | 131 |
LXIII | 133 |
LXIV | 134 |
LXV | 135 |
LXVI | 140 |
LXVII | 143 |
LXVIII | 146 |
LXIX | 150 |
LXX | 152 |
LXXI | 155 |
LXXII | 158 |
LXXIII | 160 |
LXXIV | 167 |
LXXV | 169 |
LXXVI | 171 |
LXXVII | 173 |
LXXVIII | 175 |
LXXX | 177 |
LXXXI | 179 |
LXXXII | 180 |
LXXXIII | 181 |
LXXXIV | 182 |
LXXXV | 185 |
LXXXVI | 186 |
LXXXVII | 187 |
LXXXVIII | 188 |
LXXXIX | 191 |
XCI | 195 |
XCII | 197 |
XCIII | 213 |
215 | |
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Termos e frases comuns
abcd abstract index notation affine parameter affine tangent vector angular momentum asymptotically flat axisymmetric black hole comoving components condition connecting vectors conservation consider const constant contract coordinate system corresponding cosmological principle covector curvature tensor curve defined definition density Einstein's energy energy-momentum tensor event example exists Ɛabcd flat spacetime four-momentum four-velocity vector frequency function Furthermore future-pointing galaxies geometric given gives gravitational field hence implies inertial particles Kerr Killing field linear metric motion Newtonian null cone null congruence null geodesic null rays null vector orbit Peter photon physical Rabcd radiation radius Raychaudhuri equation region respect to gab satisfies scalar Schwarzschild spacetime shear-free sin² singularity smooth space spacelike spacelike vector spherical symmetry star surface tangent vector temperature theorem timelike tion two-spheres unique universe vector field world line zero
Referências a este livro
Einstein's General Theory of Relativity: With Modern Applications in Cosmology Øyvind Grøn,Sigbjorn Hervik Visualização parcial - 2007 |