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| Ïîèñê ïî óêàçàòåëÿì |
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| Wald R.M. — General Relativity |
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| Ïðåäìåòíûé óêàçàòåëü |
"Pull back" of map 437—438
Acceleration radiation 414—416 418
Acceleration, absolute 69 158
Acceleration, relative 47
Accumulation point 426
Achronal set 192
Action principle 451
Action principle, Hilbert 453
Action principle, Palatini 454
Adjoint, of operator 391
ADM mass 293 469
ADM mass, positivity of 294—295
Affine parameter 41
Age of universe 115
Algebraic classification of spacetimes 179—180 373—374
Angular momentum, of particle 139
Angular momentum, of spacetime 296—297 469
Annihilation operator 393
Antilinear map 347
Antisymmetrization of tensors 26
Apparent horizon 311
Area theorem 312
Area theorem, energy extraction limits 326—327
Area theorem, thermodynamic analog 330 336—337 416—418
Asymptotic flatness 269—297
Asymptotic flatness at null infinity 282
Asymptotic flatness at spatial and null infinity 276
Asymptotic flatness at spatial infinity 281 282 295
Asymptotic predictability 299
Asymptotic simplicity 282
Asymptotic symmetry group 283—285
Axisymmetric 162
Back reaction, quantum effects 409—414
Baryon, nonconservation in black hole evaporation 413—414
Baryon, production in early universe 109—110
Bases of Hilbert space 391
Bases of tensors 21
Bases, bundle of 361—362
Bases, coordinate 16 47—49
Bases, dual 19
Bases, orthonormal 23 49—53
Bel — Robinson tensor 90
Bending of light 143—146
Betti number 429n
Bianchi classification 174
Bianchi identity 39—40
Bianchi identity, relation to diffeomorphism invariance 456
Bianchi identity, role in initial value formulation 259—260
big bang 99 109
Binary pulsar 88
Binding energy of last stable circular orbit around black hole 142 321
Binding energy of spherical star 126
Birkhoff's theorem 125
Black holes 155—157 298—339 399—418
Black holes, area theorem 312 417
Black holes, cosmic censor conjecture 302—305
Black holes, definition of 300 308
Black holes, detection of 306—308
Black holes, energy extraction from 324—330 338
Black holes, evaporation of 412—414
Black holes, event horizon 300 312
Black holes, formation of 305—307
Black holes, general properties of 308—312
Black holes, initial data for 265
Black holes, Kerr family 312—324
Black holes, particle creation near 399—416
Black holes, Schwarzschild black hole 155—157
Black holes, surface gravity 330—334
Black holes, thermodynamics of 330—337 416—418
Black holes, uniqueness theorems 322—324
Bogoliubov transformation 396
Bolzano — Weierstrass theorem 426
Bondi mass 291—292
Bondi mass, positivity of 294—295
Bondi — Metzner — Sachs group 283—285
Boundary 424
Boundary of future of set 192 194—195 233
Boundary of manifold 431
Boundary, causal 213
Boundary, singular 213—214
Canonical quantization 384—385
Casimir operator 357n
Cauchy horizon 203 204
Cauchy horizon, instability of in Reissner — Nordstrom 304 318
Cauchy surface 201
Cauchy — Kowalewski theorem 246
Causal boundary 213—214
Causal curves 190 192—193
Causal curves, topology on set of 206 208
Causal future 190
Causality conditions 195—199
Causality conditions, violation of near Kerr ring singularity 315
Caustics 220
Charged Kerr black holes 312—324
Chart 12
Christoffel symbol 34 36 48
Chronological future 190
Circular orbits of Kerr 320—321
Circular orbits of Schwarzschild 140—142
Closed set 424
Closed Universe 95
Closed universe, evidence for or against 113—116
Closure of set 424
Commutation relations in tetral approach 51
Commutator 18 31 440
Compact set 424—426
Complex conjugate space 347
Components of tensors 21
Conformal (Weyl) tensor 40
Conformal (Weyl) tensor, behavior under conformal transformations 447
Conformal (Weyl) tensor, principal null directions of 179 187 223n 374
Conformal invariance 447—449
Conformal Killing vector 443—444
Conformal transformations 445—449
Congruence 216—217
Conjugate points 223—233
Connected set 424
Connection 34—35
Connection 1-forms 50
Conservation of energy 63 69—70 70n 292—294
Constant curvature spaces 94—95
Constraint equations in electromagnetism 253 254 268 462 466
Constraint equations in general relativity 259 265 266 465 467—468
Continuous function 424
Continuous timelike or causal curve 192—193
Contraction 20
Contravariant vector 21
Convergence 426 see
Convergence of sequence of curves 193
Convex normal neighborhood 191
Coordinate basis 16 47—49
Coordinate systems 12
Coordinate systems, Gaussian normal (synchronous) 42
Coordinate systems, harmonic 260
Coordinate systems, Riemannian normal 42
Cosmic censor conjecture 302—305
Cosmic microwave radiation 111—112
Cosmological constant 99
Cosmological redshift 101—104 116
Cotangent vectors 21
Countability properties 426
Covariant derivative 30—31
Covariant derivative, metric compatible 35—36
Covariant quantization 383—384
Covariant vector 21
Creation of particles 395—397 399—406
Creation operator 394
Cross section 364
Curvature 36—41
Curvature, conformal transformation behavior 446—447
| Curvature, Einstein tensor 40—41
Curvature, extrinsic 230 256 464
Curvature, methods for calculating 47—53
Curvature, Ricci tensor 40
Curvature, Riemann tensor 37
Curvature, scalar curvature 40
Curvature, spinor analysis of 370—374
Curvature, Weyl tensor 40
Curve 17
Curve, null 44
Curve, spacelike 44
Curve, timelike 44
Cygnus X-1 307
de Sitter spacetime 116
Deceleration parameter 113
Decoupling of matter and radiation 111 112
Degeneracy pressure, electron 132
Degeneracy pressure, neutron 134
Degrees of freedom of gravitational field 265—266
Degrees of freedom of particle systems 245
Density matrix 402
Density matrix, production of during black hole evaporation 414
Derivative operator (covariant derivative) 30—31
Derivative operator (covariant derivative) on spinors 369
Derivative operator (covariant derivative), metric compatible 35—36
Deuterium synthesis 111 115—116
Deviation vector 46
Diffeormorphism 14 438—439
Diffeormorphism, one-parameter group of 18
Differential form 26 428—429
Dirac equation 359 375 377
Direction-dependent limit 277
Domain of dependence 200—201
Dominant energy condition 219
Dragging of inertial frames 89 187 319
Dual of a differential form 88
Dual vector 19
Duality rotation 89
Eddington — Finkelstein coordinates 153n
EDGE 200
Einstein static universe 116 273
Einstein tensor 40—41
Einstein's equation 72—73
Einstein's equation, Hamiltonian formulation of 463—465 467—469
Einstein's equation, initial value formulation of 255—267
Einstein's equation, Lagrangian formulation of 453—456 457—459
Einstein's equation, linearized 185—186
Einstein's equation, reduced 261
Einstein's equation, semiclassical 410—411
electromagnetic field 64 70 see
Embedded submanifold 431
Endpoint of curve 193
Energy 84 285—295 468—469
Energy conditions, dominant 219
Energy conditions, strong 219
Energy conditions, weak 219 219n
Energy of gravitational radiation 84—88 292
Energy of particle 61 69 139
Energy, ADM 293 469
Energy, Bondi 291—292
Energy, conservation of 63 69—70 70n 292—294
Energy, extraction from black holes 324—330 338
Energy, positivity of 294—295
Energy-momentum 4-vector 61 69
Energy-momentum 4-vector, ADM 293
Entropy of black hole 418
Equations of motion 73—74 78
Equations of structure 52
Equivalence principle 8 66—67
Ergosphere 319 323 324—325
Euclidean section 386 407—409
Evaporation of black holes 412—414
Event 4
Event horizon 300 311—312
Event horizon, angular velocity of 320 331
Event horizon, surface gravity of 330—334
Expansion of null geodesics 222
Expansion of timelike geodesics 217
Expansion of universe 98—100
Exponential map 42
Extendibility of curves 193
Extensions of spacetimes 215
Extensions of spacetimes, Kerr 315—318
Extensions of spacetimes, Schwarzschild 148—157
Extrinsic curvature 175—176 230 256 464
Factor group 368n
Feynman propagator 398—399 407—409
Fiber bundle, associated 363
Fiber bundle, bundle of bases 361—362
Fiber bundle, cross sections of 364
Fiber bundle, principal 361
Fiber bundle, spinor bundle 365—366
Fiber bundle, tangent bundle 364
Four-velocity 61 68
frequency 65—66
Friedmann Universe 101
Frobenius's theorem 434—436
Functional derivative 451
Fundamental group 345
Future directed, curve 190
Future directed, vector 189
Future, causal 190
Future, chronological 190
Gauge freedom 260 438 467n
Gauge freedom for perturbations 75 80 185—186 441
Gauss — Codacci relations 258
Gauss's law 89 433—434
Gaussian normal coordinates 42
General covariance 57—58 60
Generalized second law 417—418
Generation of solutions 180—182
Generic condition, null 232
Generic condition, timelike 227
Geodesic derivation equation 46—47
Geodesic hypothesis 67 73—74
Geodesics 41—47
Geodesics of Kerr spacetime 320—321
Geodesics of Schwarzschild spacetime 136—148
Geodesics, conjugate points 223—233
Geodesics, extremal properties of 44—45 227—229
Geodesics, incompleteness 215
Geodesics, null congruences 221—223
Geodesics, timelike congruences 217—221
Geometrical optics approximation 71 404—405
Geometrized units 470—471
Global inertial coordinates 6
Global time function 198 209
Globally hyperbolic spacetime 201
Goldberg — Sachs theorem 223n
Gravitational collapse 134—135 155—157 305—306
Gravitational radiation 78—88
Gravitational radiation, detection methods 81—82 88
Gravitational radiation, energy carried by 83—88 292
Gravitational radiation, limit for black hole collision 327
Gravitational radiation, production in linearized gravity 82—83
Gravitational redshift 136—138
Graviton 411
Group 168
Group, representation of 344
Hamiltonian formulation of field theories 459—469
Hamiltonian formulation of field theories, electromagnetic field 461—463 466—467
Hamiltonian formulation of field theories, general relativity 463—465 467—469
Hamiltonian formulation of field theories, Klein — Gordon field 461
Harmonic coordinates 260
Harmonic function 53
Hartle — Hawking vacuum 409
Hausdorff space 424
Hawking radiation (particle creation by black holes) 399—416
Heine — Borel theorem 425
Helium synthesis in early universe 111
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