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D'Inverno R. — Introducing Einstein's Relatvity
D'Inverno R. — Introducing Einstein's Relatvity

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Название: Introducing Einstein's Relatvity

Автор: D'Inverno R.

Аннотация:

There is little doubt that Einstein's theory of relativity captures the imagination. Not only has it radically altered the way we view the universe, but the theory also has a considerable number of surprises in store. This is especially so in the three main topics of current interest that this book reaches, namely: black holes, gravitational waves, and cosmology. The main aim of this textbook is to provide students with a sound mathematical introduction coupled to an understanding of the physical insights needed to explore the subject. Indeed, the book follows Einstein in that it introduces the theory very much from a physical point of view. After introducing the special theory of relativity, the basic field equations of gravitation are derived and discussed carefully as a prelude to first solving them in simple cases and then exploring the three main areas of application. Einstein's theory of relativity is undoubtedly one of the greatest achievements of the human mind. Yet, in this book, the author makes it possible for students with a wide range of abilities to deal confidently with the subject. Based on the author's fifteen years experience of teaching this subject, this is achieved by breaking down the main arguments into simple logical steps. The book includes numerous illustrative diagrams and exercises (of varying degrees of difficulty), and as a result this book makes an excellent course for any student coming to the subject for the first time.


Язык: en

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1998

Количество страниц: 382

Добавлена в каталог: 17.03.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$k$-calculus      5 19 21-8
Abberation      41
Absolute quantity      36-7 119
Absolute space      122 123 125
Absolute time      17 18 24 26 84
Acceleration, absolute      122
Acceleration, in special relativity      36 41
Acceleration, uniform      37 38 41 129 349
action      42 96 99 115-17 153
Action, integral      146
Affine connection (affinity)      see connection
Affine geodesic      75-6
Affine length      70
Affine manifold      73 230
Affine parameter      76 83 89 90 101 103 112 114 116 119 137 216 229 230 257 268 293 295 301
Affine transformation      176
Algebraically general      300
Algebraically special      300 301 303
Algorithm      179
Alternative theories      192 206 227
Amp$\grave{e}$re's law      159
Amplitude      281 286
Analytic extension      219
Analytic extension, maximal      230 231 245 260-3 285
Analytic solution      174 297
Anderson      120
angle      82
angular momentum      193 253 254 256 263 266
Angular momentum tensor      118
Angular velocity      133 253
Anisotropic model      313-14
Ansatz      160 185 247 275 276 280 288
Anthropic principle      356 357
Anthropic principle, strong      356 357
Anthropic principle, weak      357
Antiparticle      267
Apparent magnitude      326 328
Asymptote      199 200 232
Asymptotic analysis      298
Asymptotically flat      171 189 218 232 233 237 239 240 242 246 253 256 260 262-4 268 271 294 301
Atlas      57
Atomic system      202
Atomic system, axial symmetry (axisymmetry)      see symmetry
Axiomatic formulation of general relativity      143 173
Axiomatic formulation of special relativity      113
Axis      see symmetry
Azimuth reflection invariance      see symmetry
Baade      341
Backscattering      292
Basis      65
Basis, dual      140
Belinsky      313
Berkeley      123
bessel      205
Bianchi identities      87 173 187 272 288
Bianchi identities, contracted      87 143 146 149 151 170 176 191 296 304 323
Bianchi model      313-14
Bicharacteristic      292-3
big bang      227 265 268 308 313 3324 336 337 339 341 352 354 6 358
Big Bang, Hot      286 308 313 340 347 358
Big crunch      265 311 313 336 352
Binary pulsar      192 207 286 288
Binary star      226-7
Binet's equation      194 196 209
Birkhoff's theorem      188 240 290
BKL approach      313
Black hole      3 4 9 11 192 207 232 266-7 284 286 342 348 358
Black hole, charged      228 239-47
Black hole, charged rotating      248 264
Black hole, colliding      266 286
Black hole, mini      227 268
Black hole, non-rotating      223-8
Black hole, primordial      227 268
Black hole, rotating      10 228 248 262-5
blue shift      21 325
Body force      157 158
Bondi      5 120 291 292 295 296 297 299 301 344 347
Bondi - Metzner - Sachs (BMS) group      297
Boost      25 27 28 31 32 35 110 168
boundary conditions      171 184 338
Boundary value problem      285
Braginski      206
Brans      206
Brans - Dicke theory      125 192 206
Brinkmann      281
Bucket experiment      see experiment
Burbridge      341
Calculus of variations      83 96
Canonical form      179 186 239 278 288 303
Cartan      178
Cauchy problem      174-7 292 296
Causal structure      234 303
Causality      24 113 228 261 262 266 355
Causally connected      355
Caustic two-surface      283 284
Centre of mass      45 210
Centrifugal force      121 122
Characteristic equation      164
Charge      227 240 264 266
Charge density      158 159
Charged mass point      239-40
Charlier      314
Choquet - Bruhat      177
Christoflfel symbols, first kind      83
Christoflfel symbols, second kind      83
Classi      178
Classical tests      192
clock      17 20 21 24 25 34
Clock, accelerated      33
Clock, atomic      25 34 204
Clock, good      24-5
Clock, human      34
Clock, hydrogen maser      288
Clock, hypothesis      33 41 113
Clock, ideal      33 34 113 202
Clock, paradox      24-5 38
Clock, proper rate      33
Clock, sychronization      17 18 21 24 25 29
Closed timelike curve      261 262 266
Closed trapped surface      238 246 261 264 265
Collapse      see gravitational
Collision, elastic      51
Collision, inelastic      45 51
Commutator      66 77 104 137
Composition law for velocites      22 28 46
Computer algebra      178
Computer data base      179
Configuration space      115
Conformal compactification      233 236-7
Conformal factor      234 235
Conformal invariance      88
Conformal structure      260 261
Conformal tensor      87-8
Conformally flat      88 89 90 231 319
Congruence null      257
Congruence null geodesic      302 303
Congruence of curves      69-71 74
Congruence principal null      258
Congruence radial null      258 268
Congruence Schwarzschild      258
Congruence shear-free null geodesic      303
Congruence timelike geodesic      137 315 347
Conic section      194 197
Connection, affine      69 72-6 113 145 1524 288 330
Connection, integrable affine      78 89 131
Connection, metric      69 84-5 86 90 113 115 130 142 153 154 280
Conservation equations      143 164 168 172 173-4 179 323
Conservation law      131 157 158
Conservation of angular momentum      193 196
Conservation of energy      47 157 164 202 224 322 323 344
Conservation of energy-momentum      157
Conservation of four-momentum      118
Conservation of kinetic energy      47
Conservation of linear momentum      45 46 48
Conservation of mass      46 323
Conservation of matter      156 345 347
Conservation of momentum      157
Conservation of relativistic mass      47
Continuous creation of matter      345 347
Convection current      159
Coordinate advanced time      221 230 258
Coordinate axial      185
Coordinate azimuthal      185
Coordinate conditions      170
Coordinate curve      294
Coordinate differential      95 251 258
Coordinate double null      231 234 237 238 244 280 282 284
Coordinate hypersurface      213-14 291 4
Coordinate imaginary time      30 31
Coordinate null      214 221 222 237 246
Coordinate patch      57
Coordinate spacelike      183 214
Coordinate time      113 116 202
Coordinate timelike      180 185 214
Coordinate transformation      58 175 184
Coordinate transformation, active      69 110
Coordinate transformation, continuous      102
Coordinate transformation, discrete      102
Coordinate transformation, infinitesimal      102 147 154 167
Coordinate transformation, inverse      58
Coordinate transformation, passive      58 69
Coordinate, radial      186 293
Coordinate, rescaled (radial)      318 337
Coordinate, retarded time      222 230 268
Coordinate-free      55 62
coordinates      17 21 27 56
Coordinates, adapted      180 188 214 290 291 303
Coordinates, Bondi      294
Coordinates, canonical      113 130 214 253
Coordinates, Cartesian      67 115 135 189 214
Coordinates, co-moving      315 346
Coordinates, complex      250
Coordinates, cylindrical polar      89 133 253
Coordinates, degenerate      56
Coordinates, Eddington - Finkelstein      219-23 242 243 250 258-60 268
Coordinates, Gaussian      170 184
Coordinates, isotropic      189-191 214
Coordinates, Minkowski      90 107 108 111 113 116 118 119 130 131 133 143 155 158 161-3 238 247 271
Coordinates, non-degenerate      56
Coordinates, normal      170
Coordinates, plane polar      67 193
Coordinates, radiation      294
Coordinates, Rosen      284
Coordinates, spherical polar      67 89 108 189 247 253
Copernican Principle      312
Coriolis force      121
Correspondence principle      see principle of
Cosmic (background) microwave radiation      207 313 347
Cosmic attraction      173 311
Cosmic censorship hypothesis      262
Cosmic ray      49
Cosmic repulsion      173 311 337-41
Cosmic time      312 315 320
Cosmic X-ray      313
Cosmological coincidences      343-4
Cosmological constant      171 265 310 331 336
Cosmological differential equation      311
Cosmological force      310 336
Cosmological principle      307 310 312-16 322 329 340 345 356
Cosmological term      171-3 179 308 311 322 347
Cosmology      3 4 7 11 56 91 171 172 307 308 342 344 354 356 358
Cosmology coupling constant      143 153 155 167-8
Covariant formulation of Maxwell's equations      161
Covariant formulation of relativistic mechanics      117-18
Critical value      336
Current density      158 159
Curvature constant      317-21 345
Curvature scalar      87 (see also Ricci scalar)
Curvature tensor      86-7 132 276 284
Curve      57
Curve, null      111
Curve, spacelike      111
Curve, timelike      111
Cygnus XI      207 226
Cylindrical symmetry      see symmetry
d'Alembertian      272
de Sitter      172
De Sitter, conformal space-time      353-4
De Sitter, model      337-9 347 348-9 352-3 355 358
Debever      300
Deceleration parameter      227 329 333 334 347
Deflection angle      199-200
Degrees of freedom      57
Degrees of freedom, radiation      271 299
density      156 253 339 340 345 347 358
Density, critical      341-2 347
Density, mean      340 344 346 347
Density, proper      155-7 167
Derivative, absolute      75 138 293 301
Derivative, covariant      69 72-7 89 330
Derivative, covariant, of scalar density      94-5
Derivative, covariant, of tensor      73-4
Derivative, covariant, of tensor density      91
Derivative, Lie      69-72 89 103 137
Derivative, ordinary      68
Derivative, partial      68
Dicke      206
Differential constraint      146-7 151 154
Differential identity      147 148
Dimensionless parameter      165 197 199 271
Dingle      24
Dingle's metric      229
Dipole aspect      299
Dirac delta function      282 284
Discriminant      241
Distance      19 27 81
Distance, absolute      325
Distance, cosmological      3254
Distance, luminosity      326-8
Distance, observational      325
Distortion      302
distribution      282
Divergence      151 154 157 302
Divergence, covariant      91
Divergence, ordinary      91
Divergence, Theorem      96 103 147 150
Dominant energy condition      164 169 228 265 322
Doppler shift      39-40 41 203 309 310 325 326 327 345
Doppler shift, classical      39
Doppler shift, radial      21 40 50
Doppler shift, special relativistic      40
Doppler shift, transverse      40
Dust (incoherent matter)      155-7 164 167 173 323
Dust (incoherent matter), null      285
Dynamical variables      96 98 99 148 151 152 154
E$\ddot{o}$tv$\ddot{o}$s      206
E$\ddot{o}$tv$\ddot{o}$sratio      205
Eccentricity      194 198
Eclipse      200
Eclipse expedition      200-1 207
Eddington      5 154 200 338 339
Eddington - Lema$\hat{\iota}$tre model      337 339-40 341
Eigendirection      329
Eigenvalue      164 299 300
Eigenvector      164 299 300
Einstein      3 6 15 19 20 23 49 120 125 129 130-2 142 170-3 177 178 186 200 201 271 308 338 341 343 357
Einstein - Rosen bridge      232-3
Einstein static universe      235 236 337 0 351 352
Einstein summation convention      59
Einstein tensor      87 90 142 143 149 176 177 187 272 282 330
1 2 3 4
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