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| Ïîèñê ïî óêàçàòåëÿì |
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| Held A. (ed.) — General relativity and gravitation. 100 years after the birth of Albert Einstein (volume 1) |
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| Ïðåäìåòíûé óêàçàòåëü |
# 109
 space-time 341 345 346
 space-time 335 341 347
space-time, field equations of 338
A causal propagation anomaly 385
action see also “Lagrangian” “Hamiltonian”
Action for a triplet of free Maxwell fields 360
Action for Brans — Dicke supersymmetric extension 575
Action for Brans — Dicke Theory 575
Action for Dirac theory 559
Action for ECSK theory in 3 + 1 form 60
Action for Einstein in terms of a conformal TT decomposition 69
Action for Einstein linearized 361
Action for Einstein theory 45 470 549 563
Action for Einstein theory coupled to Bosonic matter 379
Action for Einstein theory coupled to tensor field 49
Action for Einstein theory coupled to Yang — Mills field 63
Action for five-dimensional theory 542
Action for general field 32 235
Action for general field in 3 + 1 form 33
Action for GL(4R) gauge theory 315
Action for gravitation as Yang — Mills theory 63
Action for Klein — Gordon field 559
Action for Maxwell field 32 235
Action for Maxwell field in 3 + 1 form 33
Action for reduced phase space 43
Action for scalar, pseudoscalar, and Majorana fields 367
Action for spin-1 and spin-1/2 fields (free) 367
Action for supergravity 62 371 564
Action for supergravity conformal 572
Action for supergravity coupled to a spin-(3/2, 1) multiplet 375
Action for supergravity coupled to matter 374 376
Action for supergravity in forms 570
Action for supergravity linearized 368
Action for supergravity with cosmological constant 373
Action for Yang — Mills field 63
Action Rarita — Schwinger (spin-3/2 field) 369 562
Adiabatic regularization 282
Adjoint of an operator 127
ADM (Arnowitt, Deser, Misner) energy 482
ADM variables 46 see
Affine (nonmetric) geometry 579
Affine collineations 461
AGCT (anholonomized general coordinate transformation) 312
Algebra see also “Graded algebra” “Lie “Poincare
Algebra gauge, closure of 566 574
Algebra of symmetries of supergravity 565—568
Algorithm 495
Algorithm for deciding the equivalence problem 533
Algorithm for performing multiple covariant differentiation 532
Almost-canonical structure 43 163
Almost-canonical transformation 68 70
Angular momentum, conserved by Noether's theorem 334
Annihilation operator 257
Ashtekar — Hansen energy 486
Asymptotically flat initial data 156 185
Asymptotically flat slices 165
Asymptotically flat space-time 81 174 481 see “Momentum”
Atiyah — Singer index theorem 284
Babbage's analytic machine 491
Bandors 314
Bare constant 276
Bel — Robinson tensor 388
Belifante — Rosenfeld procedure 322
Berger — Eben canonical splitting 141
Bergmann — Dirac canonical analysis 32—44
Bianchi identity 293 373
Bianchi types 87—89 (including footnote) 436
Bit 498
Black hole evaporation of 267—270
Black hole particle flux of 268
Black hole temperature of 268
Blackbody radiation, Planck's formula for 19
Blow up see “Garbage collector”
BMS (Bondi — Metzner — Sachs) group 482
Bogolubov transformation 260 262 266 267
Bondi mass 176 477 482 529 see
Bose variables 217
Brill — Hartle, averaging of tensors 551
Brouwer's theorem 289
Bubble time canonical formalism 69
Bundle see also “Principal bundle”
Bundle associated 294
Bundle cotangent 396
Bundle infinitesimal connection on 291—296
Bundle of affine frames 306
Bundle of linear frames 295
Bundle of orthonormal frames 291
Bundle of projective frames 306
Bundle, section of 289
Bundle, Stiefel 299
Bundle, tangent 445
Bundle, vector 294
BYTE 498
Canonical analysis, and degrees of freedom 38
Canonical analysis, Bergmann — Dirac procedure 32—44
Canonical analysis, boundary terms in 79
Canonical analysis, evolution equations for general field 37
Canonical analysis, for source-fields in first-order form 53—54
Canonical analysis, gauge freedom in 39
Canonical analysis, Maxwell field as example 33—41
Canonical analysis, of ECSK (Einstein — Cartan — Sciama — Kibble) theory 59—61
Canonical analysis, of Yang — Mills type field 207
Canonical analysis, symmetries in 83 207
Canonical quantization 92 227—254
Canonical quantization, free particle as example 246
Canonical stress-energy tensor 541 550
Cartan — Maurer equation 318 322
Carter's separable space-times 417—422
Casimir effect 259—261 265
Cauchy data see also “Cauchy problem” “Initial
Cauchy data constraints in general relativity 238
Cauchy data for general relativity 234
Cauchy data of a free Maxwell field 145 232
Cauchy data, propagation of 240
Cauchy problem 100—114 444 see “Initial “Initial
Cauchy stability 115
Cauchy surface 102 256
Cauchy surface existence of, global 241
Causal path 101
Centrifugal force 5
Characteristic surface, data on 104
Charge central 366
Charge electric 147 147
Chern number 281
Chern — Weil construction 298
Chiral charge 572
Chiral gauge field 573
Chiral generator 378 571
Chiral rotations (generator) 571
Chiral superfields 578
Chirality-duality constraints 573
Chirality-duality invariance 379 576
Christensen — DeWitt series 280
Class number 449
Commutator see also “Lie algebra”
Commutator covariant 256 564
Commutator of canonical variables 244
Commutator of two Lie algebra valued forms 293
Compact slices 164
Compatible charts 397
Computer and the 3 + 1 formulation 108
Computer central processor 496
Computer languages, ALAM 492 511 529 531
Computer languages, ALBERT 492 531
Computer languages, ALGOL 499
Computer languages, ASSEMBLY 499
Computer languages, CAMAL 493 500 501 527 531 532 551—555
Computer languages, CLAM 492 513 515 527
Computer languages, FORMAC 507 510 531
| Computer languages, FORMAC, packages 525—527
Computer languages, FORTRAN 499 509—510 514
Computer languages, GRAD 492
Computer languages, GRAD-ASSISTANT 507 511 531
Computer languages, ILAM 513
Computer languages, LAM 507 511—515
Computer languages, LISP 503 507—510 515
Computer languages, MACSYMA 506 527 531 532 551
Computer languages, REDUCE 506 514 515—517 527
Computer languages, SCRATCHPAD 501 527
Computer languages, SHEEP 493 495 514—515 516 527 531 533
Computer peripheral equipment 497
Computer storage 498
Computing algebraic 502—507
Computing and Bondi metric 517—520
Computing and factoring of polynomials 506
Computing and Harrison metrics 528 531
Computing on line 502
Confinement potential 305
Confinement potential, in the weak-field approximation of a Poincare gauge theory 347—350
Conformal anomaly 265 269 283 284
Conformal equivalence class of initial data 144 150
Conformal flat electrovac solutions 458
Conformal group 571
Conformal Killing tensor 422 432
Conformal rigidity 413
Conformal separability 456
Conformal supergravity 265 269 283 284 571—576
Conjugate momentum 33
Conjugate momentum of the metric 47
Connection 1-form 55
Connection on bundle of linear frames 300
Connection on tangent bundle 445
Connection, holonomic, in a T4 346
Conservation laws see also “Energy” “Momentum” “Noether's “Conserved
Conservation laws, in the two-timing formalism 541
Conservation laws, strong 475
Conservation laws, weak 474
Conserved quantities see also “Conservation laws” “Energymomentum” “Noether's
Conserved quantities current 331
Conserved quantities current, axial 379
Conserved quantities energy-momentum 302
Conserved quantities generalized laws 302
Conserved quantities of Taub 131
Constant of the motion 471 747 see “Conserved “Noether's
Constraints 108 137 176
Constraints, chirality-duality 573
Constraints, first class 36 239 241
Constraints, for ECSK theory 61
Constraints, Hamiltonian 100 112 147 159 241
Constraints, hypersurface of a free particle 247
Constraints, kinetic, in supergravity 573
Constraints, linearized stability of 126—136
Constraints, momentum 100 112 142 159
Constraints, of Einstein's theory 48 238
Constraints, of the gravitational super-Hamiltonian 67
Constraints, primary 34 35
Constraints, second class 37 241
Constraints, secondary 36 40
Coordinate, canonically separable 396
Coordinate, first class 401
Coordinate, harmonic (deDonder) 104 461
Coordinate, normal separable 406
Coordinate, quasinormal separable 398
Coordinate, second class 401
Coordinate, separable 397
Coriolis force 5
Cosmic censor hypothesis 189
Cosmology see “Metrics and cosmologies” “Space-times”
Counterterms 362 363 385 387 see “Renormalization”
Creation of particles by curvature 261
Creation operator 257
Curvature see also “Riemann tensor”
Curvature, 2-form 56
Curvature, in superspace 578
Curvature, mean 449
Curvature, particle production by 261
Cutoff 259 282
Cyclic field component 40
De Rham — Lichnerowicz Laplacian 123
de Sitter space, stress-energy tensor 271 see
Debever isotropic forms formalism 421
deDonder condition 344
Deformation compensating 199
Deformation normal 200 203
Deformation of surface 197—201
Degrees of freedom, and canonical analysis 32—44
Degrees of freedom, in Einstein's theory 49
Degrees of freedom, phase-space of gravitational 64
Degrees of freedom, space of 41
Degrees of freedom, topological 461—462
Derivative see also “Lie derivative”
Derivative, coupled source 51
Derivative, covariant exterior 293
Derivative, directional, of Kuchar 29
Derivative, G(roup) covariant 318
Derivative, space-covariant 29
Derivative, supercovariant 564
Derivative, using computers 505 529
Dirac bracket 41
Disk, rigidly rotating 1—14
Divergence see also “Loops”
Divergence, of the gravitational field 362—365
Divergence, ultraviolet 258 279
Domain of dependence 230 see
Dominance of energy hypothesis 146
Duality 365 375 378
Dynamical equations 108 112 see
ECSK (Einstein — Cartan — Sciama — Kibble) theory 78 see
ECSK (Einstein — Cartan — Sciama — Kibble) theory canonical analysis of 59—51
Ehrenfest paradox 2
Ehrenfest principle 246—251
Einstein and the laser 17—21
Einstein energy 480 481 487
Einstein pseudotensor 476
Einstein superpotential 477 478
Einstein — Cartan theory 302 310 317 see
Einstein — Cartan theory, energy-momentum tensor of 304
Einstein — Cartan theory, Lagrangian 301
Einstein's theory, 3 + 1 decomposition 45 47
Einstein's theory, and local isometric embedding 458—463
Einstein's theory, as gauge theory 291
Einstein's theory, Cauchy data constraints 238
Einstein's theory, coupled to Yang — Mills field 214
Einstein's theory, degrees of freedom 49
Einstein's theory, linearized 122
Einstein's theory, linearized and truncated 124
Einstein's theory, phase space formulation of 227—254
Einstein's theory, reduced 66 116
Einstein's theory, the square root of 216—221 381—382
Einstein's theory, waveless approximation 91
Electric charge, scale of 146 147
Electrovac solutions, conformally flat 458
Embedding 442
Embedding, and stress-energy tensor 458
Embedding, class of 449 450—456 458
Embedding, energetically rigid 460
Embedding, explicit 447
Embedding, extremal point 459
Embedding, globally isometric 493—494
Embedding, implicit 447
Embedding, intrinsically rigid 460
Embedding, isolated point 459
Embedding, isometric 442—474
Embedding, minimal 449
Embedding, of Riemannian manifold 441—468
Embedding, type number 465
Energy, ADM 482
Energy, Ashtekar — Hansen 486
Energy, at null infinity 483 487—488
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