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Wald R.M. Ч General Relativity
Wald R.M. Ч General Relativity

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Ќазвание: General Relativity

јвтор: Wald R.M.

јннотаци€:

Wald's book is clearly the first textbook on general relativity with a totally modern point of view; and it succeeds very well where others are only partially successful. The book includes full discussions of many problems of current interest which are not treated in any extant book, and all these matters are considered with perception and understanding


язык: en

–убрика: ‘изика/√равитационное взаимодействие/

—татус предметного указател€: √отов указатель с номерами страниц

ed2k: ed2k stats

√од издани€: 1984

 оличество страниц: 491

ƒобавлена в каталог: 05.10.2005

ќперации: ѕоложить на полку | —копировать ссылку дл€ форума | —копировать ID
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ѕредметный указатель
"Pull back" of map      437Ч438
Acceleration radiation      414Ч416 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      294Ч295
Affine parameter      41
Age of universe      115
Algebraic classification of spacetimes      179Ч180 373Ч374
Angular momentum, of particle      139
Angular momentum, of spacetime      296Ч297 469
Annihilation operator      393
Antilinear map      347
Antisymmetrization of tensors      26
Apparent horizon      311
Area theorem      312
Area theorem, energy extraction limits      326Ч327
Area theorem, thermodynamic analog      330 336Ч337 416Ч418
Asymptotic flatness      269Ч297
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      283Ч285
Axisymmetric      162
Back reaction, quantum effects      409Ч414
Baryon, nonconservation in black hole evaporation      413Ч414
Baryon, production in early universe      109Ч110
Bases of Hilbert space      391
Bases of tensors      21
Bases, bundle of      361Ч362
Bases, coordinate      16 47Ч49
Bases, dual      19
Bases, orthonormal      23 49Ч53
Bel Ч Robinson tensor      90
Bending of light      143Ч146
Betti number      429n
Bianchi classification      174
Bianchi identity      39Ч40
Bianchi identity, relation to diffeomorphism invariance      456
Bianchi identity, role in initial value formulation      259Ч260
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      155Ч157 298Ч339 399Ч418
Black holes, area theorem      312 417
Black holes, cosmic censor conjecture      302Ч305
Black holes, definition of      300 308
Black holes, detection of      306Ч308
Black holes, energy extraction from      324Ч330 338
Black holes, evaporation of      412Ч414
Black holes, event horizon      300 312
Black holes, formation of      305Ч307
Black holes, general properties of      308Ч312
Black holes, initial data for      265
Black holes, Kerr family      312Ч324
Black holes, particle creation near      399Ч416
Black holes, Schwarzschild black hole      155Ч157
Black holes, surface gravity      330Ч334
Black holes, thermodynamics of      330Ч337 416Ч418
Black holes, uniqueness theorems      322Ч324
Bogoliubov transformation      396
Bolzano Ч Weierstrass theorem      426
Bondi mass      291Ч292
Bondi mass, positivity of      294Ч295
Bondi Ч Metzner Ч Sachs group      283Ч285
Boundary      424
Boundary of future of set      192 194Ч195 233
Boundary of manifold      431
Boundary, causal      213
Boundary, singular      213Ч214
Canonical quantization      384Ч385
Casimir operator      357n
Cauchy horizon      203 204
Cauchy horizon, instability of in Reissner Ч Nordstrom      304 318
Cauchy surface      201
Cauchy Ч Kowalewski theorem      246
Causal boundary      213Ч214
Causal curves      190 192Ч193
Causal curves, topology on set of      206 208
Causal future      190
Causality conditions      195Ч199
Causality conditions, violation of near Kerr ring singularity      315
Caustics      220
Charged Kerr black holes      312Ч324
Chart      12
Christoffel symbol      34 36 48
Chronological future      190
Circular orbits of Kerr      320Ч321
Circular orbits of Schwarzschild      140Ч142
Closed set      424
Closed Universe      95
Closed universe, evidence for or against      113Ч116
Closure of set      424
Commutation relations in tetral approach      51
Commutator      18 31 440
Compact set      424Ч426
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      447Ч449
Conformal Killing vector      443Ч444
Conformal transformations      445Ч449
Congruence      216Ч217
Conjugate points      223Ч233
Connected set      424
Connection      34Ч35
Connection 1-forms      50
Conservation of energy      63 69Ч70 70n 292Ч294
Constant curvature spaces      94Ч95
Constraint equations in electromagnetism      253 254 268 462 466
Constraint equations in general relativity      259 265 266 465 467Ч468
Continuous function      424
Continuous timelike or causal curve      192Ч193
Contraction      20
Contravariant vector      21
Convergence      426 see
Convergence of sequence of curves      193
Convex normal neighborhood      191
Coordinate basis      16 47Ч49
Coordinate systems      12
Coordinate systems, Gaussian normal (synchronous)      42
Coordinate systems, harmonic      260
Coordinate systems, Riemannian normal      42
Cosmic censor conjecture      302Ч305
Cosmic microwave radiation      111Ч112
Cosmological constant      99
Cosmological redshift      101Ч104 116
Cotangent vectors      21
Countability properties      426
Covariant derivative      30Ч31
Covariant derivative, metric compatible      35Ч36
Covariant quantization      383Ч384
Covariant vector      21
Creation of particles      395Ч397 399Ч406
Creation operator      394
Cross section      364
Curvature      36Ч41
Curvature, conformal transformation behavior      446Ч447
Curvature, Einstein tensor      40Ч41
Curvature, extrinsic      230 256 464
Curvature, methods for calculating      47Ч53
Curvature, Ricci tensor      40
Curvature, Riemann tensor      37
Curvature, scalar curvature      40
Curvature, spinor analysis of      370Ч374
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      265Ч266
Degrees of freedom of particle systems      245
Density matrix      402
Density matrix, production of during black hole evaporation      414
Derivative operator (covariant derivative)      30Ч31
Derivative operator (covariant derivative) on spinors      369
Derivative operator (covariant derivative), metric compatible      35Ч36
Deuterium synthesis      111 115Ч116
Deviation vector      46
Diffeormorphism      14 438Ч439
Diffeormorphism, one-parameter group of      18
Differential form      26 428Ч429
Dirac equation      359 375 377
Direction-dependent limit      277
Domain of dependence      200Ч201
Dominant energy condition      219
Dragging of inertial frames      89 187 319
Dual of a differential form      88
Dual vector      19
Duality rotation      89
Eddington Ч Finkelstein coordinates      153n
EDGE      200
Einstein static universe      116 273
Einstein tensor      40Ч41
Einstein's equation      72Ч73
Einstein's equation, Hamiltonian formulation of      463Ч465 467Ч469
Einstein's equation, initial value formulation of      255Ч267
Einstein's equation, Lagrangian formulation of      453Ч456 457Ч459
Einstein's equation, linearized      185Ч186
Einstein's equation, reduced      261
Einstein's equation, semiclassical      410Ч411
electromagnetic field      64 70 see
Embedded submanifold      431
Endpoint of curve      193
Energy      84 285Ч295 468Ч469
Energy conditions, dominant      219
Energy conditions, strong      219
Energy conditions, weak      219 219n
Energy of gravitational radiation      84Ч88 292
Energy of particle      61 69 139
Energy, ADM      293 469
Energy, Bondi      291Ч292
Energy, conservation of      63 69Ч70 70n 292Ч294
Energy, extraction from black holes      324Ч330 338
Energy, positivity of      294Ч295
Energy-momentum 4-vector      61 69
Energy-momentum 4-vector, ADM      293
Entropy of black hole      418
Equations of motion      73Ч74 78
Equations of structure      52
Equivalence principle      8 66Ч67
Ergosphere      319 323 324Ч325
Euclidean section      386 407Ч409
Evaporation of black holes      412Ч414
Event      4
Event horizon      300 311Ч312
Event horizon, angular velocity of      320 331
Event horizon, surface gravity of      330Ч334
Expansion of null geodesics      222
Expansion of timelike geodesics      217
Expansion of universe      98Ч100
Exponential map      42
Extendibility of curves      193
Extensions of spacetimes      215
Extensions of spacetimes, Kerr      315Ч318
Extensions of spacetimes, Schwarzschild      148Ч157
Extrinsic curvature      175Ч176 230 256 464
Factor group      368n
Feynman propagator      398Ч399 407Ч409
Fiber bundle, associated      363
Fiber bundle, bundle of bases      361Ч362
Fiber bundle, cross sections of      364
Fiber bundle, principal      361
Fiber bundle, spinor bundle      365Ч366
Fiber bundle, tangent bundle      364
Four-velocity      61 68
frequency      65Ч66
Friedmann Universe      101
Frobenius's theorem      434Ч436
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 185Ч186 441
Gauss Ч Codacci relations      258
Gauss's law      89 433Ч434
Gaussian normal coordinates      42
General covariance      57Ч58 60
Generalized second law      417Ч418
Generation of solutions      180Ч182
Generic condition, null      232
Generic condition, timelike      227
Geodesic derivation equation      46Ч47
Geodesic hypothesis      67 73Ч74
Geodesics      41Ч47
Geodesics of Kerr spacetime      320Ч321
Geodesics of Schwarzschild spacetime      136Ч148
Geodesics, conjugate points      223Ч233
Geodesics, extremal properties of      44Ч45 227Ч229
Geodesics, incompleteness      215
Geodesics, null congruences      221Ч223
Geodesics, timelike congruences      217Ч221
Geometrical optics approximation      71 404Ч405
Geometrized units      470Ч471
Global inertial coordinates      6
Global time function      198 209
Globally hyperbolic spacetime      201
Goldberg Ч Sachs theorem      223n
Gravitational collapse      134Ч135 155Ч157 305Ч306
Gravitational radiation      78Ч88
Gravitational radiation, detection methods      81Ч82 88
Gravitational radiation, energy carried by      83Ч88 292
Gravitational radiation, limit for black hole collision      327
Gravitational radiation, production in linearized gravity      82Ч83
Gravitational redshift      136Ч138
Graviton      411
Group      168
Group, representation of      344
Hamiltonian formulation of field theories      459Ч469
Hamiltonian formulation of field theories, electromagnetic field      461Ч463 466Ч467
Hamiltonian formulation of field theories, general relativity      463Ч465 467Ч469
Hamiltonian formulation of field theories, Klein Ч Gordon field      461
Harmonic coordinates      260
Harmonic function      53
Hartle Ч Hawking vacuum      409
Hausdorff space      424
Hawking radiation (particle creation by black holes)      399Ч416
Heine Ч Borel theorem      425
Helium synthesis in early universe      111
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