A First Course in General RelativityCambridge University Press, 31 gen 1985 - 376 pagine General relativity has become one of the central pillars of theoretical physics, with important applications in both astrophysics and high-energy particle physics, and no modern theoretical physicist's education should be regarded as complete without some study of the subject. This textbook, based on the author's own undergraduate teaching, develops general relativity and its associated mathematics from a minimum of prerequisites, leading to a physical understanding of the theory in some depth. It reinforces this understanding by making a detailed study of the theory's most important applications - neutron stars, black holes, gravitational waves, and cosmology - using the most up-to-date astronomical developments. The book is suitable for a one-year course for beginning graduate students or for undergraduates in physics who have studied special relativity, vector calculus, and electrostatics. Graduate students should be able to use the book selectively for half-year courses. |
Sommario
II | 1 |
III | 4 |
IV | 5 |
V | 6 |
VI | 7 |
VII | 10 |
VIII | 15 |
IX | 18 |
LVI | 151 |
LVII | 154 |
LVIII | 160 |
LIX | 163 |
LX | 167 |
LXI | 173 |
LXII | 175 |
LXIII | 176 |
X | 24 |
XI | 25 |
XII | 26 |
XIII | 27 |
XIV | 28 |
XV | 30 |
XVI | 36 |
XVII | 39 |
XVIII | 44 |
XIX | 45 |
XX | 47 |
XXI | 50 |
XXII | 52 |
XXIII | 53 |
XXIV | 54 |
XXV | 60 |
XXVI | 61 |
XXVII | 62 |
XXVIII | 71 |
XXIX | 73 |
XXX | 77 |
XXXI | 78 |
XXXII | 80 |
XXXIII | 81 |
XXXV | 89 |
XXXVIII | 90 |
XXXIX | 94 |
XL | 97 |
XLI | 99 |
XLII | 106 |
XLIII | 110 |
XLIV | 111 |
XLV | 112 |
XLVI | 113 |
XLVII | 118 |
XLVIII | 126 |
XLIX | 133 |
L | 140 |
LI | 143 |
LII | 144 |
LIII | 147 |
LIV | 148 |
LXV | 182 |
LXVI | 185 |
LXVII | 188 |
LXVIII | 189 |
LXIX | 191 |
LXXI | 195 |
LXXII | 199 |
LXXIII | 200 |
LXXIV | 205 |
LXXV | 208 |
LXXVI | 209 |
LXXVII | 214 |
LXXVIII | 221 |
LXXIX | 226 |
LXXX | 234 |
LXXXI | 242 |
LXXXII | 243 |
LXXXIII | 251 |
LXXXIV | 253 |
LXXXV | 255 |
LXXXVI | 257 |
LXXXVII | 258 |
LXXXVIII | 261 |
LXXXIX | 264 |
XC | 270 |
XCI | 271 |
XCII | 275 |
XCIII | 288 |
XCIV | 294 |
XCV | 305 |
XCVI | 310 |
XCVII | 311 |
XCVIII | 318 |
XCIX | 322 |
C | 329 |
CI | 334 |
CII | 338 |
CIV | 342 |
CVI | 346 |
359 | |
367 | |
Parole e frasi comuni
acceleration algebra angular momentum arbitrary As² axis basis vectors black hole calculate called Christoffel symbols clock components conservation const constant coordinate system covariant derivative curvature curve defined Derive Eq differential discussion distance ds² Einstein energy Euclidean space Exer flat fluid element flux four-momentum four-velocity freely falling function galaxies gauge geodesic geometry gives gravitational field gravitational waves horizon hyperbolae inertial frame integral line element linear Lorentz transformation manifold matrix MCRF measured metric tensor Newtonian notation null number density observer one-form orbit orthogonal oscillator parameter particle photon physical plane polar coordinates radiation radius real number redshift relative relativistic rest mass rotation scalar Schwarzschild Schwarzschild metric Show sin² solution spacetime diagram spatial spherical star stress-energy tensor surface symmetric tangent theory timelike velocity world line zero αβ
Brani popolari
Pagina 359 - The theory of separability of the Hamilton-Jacobi equation and its applications to general relativity.