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Held A. (ed.) — General Relativity and Gravitation: One Hundred Years After the Birth of Albert Einstein, Vol. 2
Held A. (ed.) — General Relativity and Gravitation: One Hundred Years After the Birth of Albert Einstein, Vol. 2



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Íàçâàíèå: General Relativity and Gravitation: One Hundred Years After the Birth of Albert Einstein, Vol. 2

Àâòîð: Held A. (ed.)

ßçûê: en

Ðóáðèêà: Ôèçèêà/

Ñòàòóñ ïðåäìåòíîãî óêàçàòåëÿ: Ãîòîâ óêàçàòåëü ñ íîìåðàìè ñòðàíèö

ed2k: ed2k stats

Ãîä èçäàíèÿ: 1980

Êîëè÷åñòâî ñòðàíèö: 558

Äîáàâëåíà â êàòàëîã: 26.01.2009

Îïåðàöèè: Ïîëîæèòü íà ïîëêó | Ñêîïèðîâàòü ññûëêó äëÿ ôîðóìà | Ñêîïèðîâàòü ID
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Ïðåäìåòíûé óêàçàòåëü
Energy, ADM      482
Energy, Ashtekar — Hansen      486
Energy, at null infinity      483 487—488
Energy, at spatial infinity      485—486
Energy, Einstein      480 481 487
Energy, Komar      479 480 487 488
Energy, local positivity of      148
Energy, local positivity of, in relativity      479—480
Energy, positivity and supergravity      382—385
Energy, Tamborino — Winicour      484
Energy-momentum      see “Energy” “Stress-energy
Energy-momentum, conserved      302
Energy-momentum, global      480—481
Energy-momentum, pseudotensor      175 471
Energy-momentum, pseudotensor and the Schwarzschild metric      471
Energy-momentum, pseudotensor, Landau — Lifshitz      476 529
Energy-momentum, pseudotensor, of Einstein      476
Energy-momentum, tensor of a Poincare gauge theory      337
Entropy of radiation and expanding universe      265
equation      see “Dynamical” “Euler” “Evolution
Equation of motion, supergravity      371
Equation of “two-timed” Einstein theory      545
Equation, conformal Killing tensor      432
Equation, Friedmann      304
Equation, Mathisson — Papapetrou      303
Equation, Schroedinger      281
Equation, twistor      422 (footnote)
Equation, wave      45 6
Equivalence class of quantum states      242 252
Euler equations      110 135 529 542 549
Euler Lagrangian      301
Euler number      363
Evolution equations      see “Canonical formalism” “Dynamical
Evolution equations, ECSK theory      61
Evolution equations, general field      37 540
Evolution equations, Poincare gauge theory      336
expansion      483 (footnote)
Expansion of the universe and thermodynamics      265
Extended supergravity      216 318—320 557—584
Extended supersymmetry      366
Extremal point      see “Embedding”
Extrinsic curvature, energy due to      177
Extrinsic curvature, hypersurface of constant mean      152—155
Extrinsic curvature, mean      153
Fermi fields      326 559
Fermi functions      217
Fermi propagation      479
Fermi variables      217
Fermi — Bose rotations, local      560
Fibration, spontaneous      310 324—327
Field      see “Canonical analysis” “Fermi “Gauge” “Maxwell” “Yang
Field as section of a bundle      295
Field of a gauge theory      296
Field, 3 + 1 decomposition of      26—32
Field, Higgs      296—299 301
Field, with no gauge freedom      41
Fierz transformation      367 371 372 373 565
Finsler space      531
Fischer — Marsden sufficiency conditions      127
Fock space      257
Foliation, conformally flat      90
Foliation, maximal      165
FORM      55—59
Form, (Cartan) left invariant      318 320
Form, 3 + 1 decomposition of      57
Form, connection 1-form      55
Form, covariant exterior derivative of      293
Form, curvature 2-form      56 293
Form, torsion 2-form      56 300
frames      55—59
Frames, 3 + 1 decomposition      56
Frenet formulas      465
Friedmann equation      304
future      101
Future, spatial point      102
Garbage collector      503
Gauge theory      229 473
Gauge theory of gravity on Poincare group manifold      318—327
Gauge theory of Poincare group      309—313 317 329—353
Gauge theory, construction of      296 331—333
Gauge theory, Einstein’s theory as      291
Gauge theory, fields of supergravity      564
Gauge theory, fields of supergravity, generators      572
Gauge theory, group manifold in      310 318—320
Gauge theory, vector compensating field      332
Gauge, asymptotic transformation      158
Gauge, choice of      42—44
Gauge, freedom      39 42
Gauge, intrinsic time      70 88
Gauge, invariance, Abelian      250—257
Gauge, invariance, Abelian, non-Abelian      207—209
Gauge, parallel transport      322
Gauge, spatial      88
Gauge, transformation      205 321
Gauge, transformation, in a principal fiber bundle      310
Gauge, transformation, of the second kind      290—306
Gauss — Bonnet theorem      184 363 386
Gauss — Codazzi — Mainardi equations      46 180 459
Gauss — Codazzi — Ricci equations      475—477
Gaussian neighborhood      155
GCTG (general coordinate transformation group)      313
Geodesic      393 395 422
Geodesic, flow      397
Geodesic, incomplete      462
Geroch integral      488
Ghost state      364 566
GL(4R) as gauge group      313—316
GL(4R), spinorial representations      314
Global hyperbolicity      102
Goos — Hanchen effect      20
Gordon decomposition      340
Graded algebra      217 (see also “Algebra”)
Graded algebra, de Sitter      569
Graded algebra, generalized Poincare      366 569
Graser      20
Grassman parameter      367 369 577
Grassman spinor      366
Grassmann manifold      299
Gravitational waves      534—554
Gravitinos      558
Gravitinos as gauge field      560
Gravitinos, torsion induced by      562—564
Green’s function      256
Green’s function, thermal      263
Green’s function, two point      262
Gribov’s theorem      44
Group      see “GL(4R)” “Lorentz” “Poincare
Group of deformations of spacelike-hypersurfaces      74
Group, BMS (Bondi — Metzner — Sachs)      482
Group, conformal      571
Group, holonomy      456
Group, invertible symmetry      418
Group, metric      215
Group, stability      296
Gupta — Bleuler quantization      246 250
Hadrons      339
Hamilton — Jacobi equation, conformally decomposable      429
Hamilton — Jacobi equation, conformally decomposable, decomposable      429
Hamilton — Jacobi equation, conformally decomposable, reduced      395
Hamilton — Jacobi equation, conformally decomposable, separability of      393 436
Hamilton — Jacobi theory      243
Hamiltonian      395 (see also “Canonical analysis” “Lagrangian”)
Hamiltonian for ECSK theory in 3 + 1 form      60
Hamiltonian for Einstein’s theory      48 111 161 212—216
Hamiltonian for Einstein’s theory, coupled to source in first-order form      54
Hamiltonian for Einstein’s theory, coupled to Yang — Mills field      214
Hamiltonian for general field      35 211
Hamiltonian, closing relations for generators      75
Hamiltonian, equations for general relativity      240
Hamiltonian, form of supergravity      376—381
Hamiltonian, formalism, reduced      161—165
Hamiltonian, structure of space-time      195—225
Hamiltonian, vector field      395
Hansch effect      21
Hauser and Malhiot class of metrics      431 432
Havas conditions      416
Hawking process      see “Black hole” “Evaporation
Hermitian operators      245 248
Higg’s field      296—299 301
Hilbert space of free particle      252—254
Holonomy group      456
Hor $\alpha$      293
Horizon      83
Horizon, initial data with apparent      189
Hubble effect      265
Hypermomentum      315 339
Hypersurface of constant mean extrinsic curvature      152—155
Hypersurface, a la Kuchar      72
Hypersurface, kinematics      71—78
Hypersurface, maximal      152—155
Hypersurface, tilting of      73
Imaginary time      263 269
Immersion      472
Initial data on characteristic surface      104
Initial data, asymptotically flat      156 185
Initial data, conformal equivalence class      144 150
Initial data, electromagnetism as example      145 233
Initial data, momentarily static      137
Initial data, nongravitational      145
Initial data, set      100 136 174
Initial data, set, global uniqueness      106
Initial data, singular      188
Initial data, spherically symmetric      183
Initial data, time-symmetric      183
Initial data, vector potential for      143
Initial data, with apparent horizon      189
Initial value problem      38 137—165 234—236
Initial value problem, thin sandwich formulation      25 (footnote)
Instanton      287 299
Invariants      see “Topological invariant” “Weitzenbock
Invariants, absolute      449
Invariants, arithmetic      449
Invariants, construction of in gauge theories      303—301
Invariants, extrinsic      449 450
Isolated point      see “Embedding”
Jacobi identity      210 568
Jourdain, Monsieur      287
K(iffing) spinor      422 432
K(iffing) spinor and null geodesic      422
K(illing) tensor      399
K(illing) tensor, conformal      422 432
Kaluza — Klein geometry      288 291 316
Killing — Yano tensor      426
Kinetic matrix      34 51 52 54
Komar energy      479 480 487 488
Kuchar directional derivative      29
Kuchar hypersurface      152—155
L.I.E. (local isometric embedding)      443 (see also “Embedding”)
L.I.E. (local isometric embedding) and gravitation      458—463
Lagrance multiplier      36 38 40 53 61 379 382
Lagrance multiplier and choice of gauge      42
Lagrance multiplier, Maxwell field example      39
Lagrange bracket      242
Lagrangian      see “Action” “Canonical “Hamiltonian”
Lagrangian and coordinate transformation      473
Lagrangian for a Poincare gauge theory      317 329
Lagrangian for a Poincare gauge theory, linearized      337
Lagrangian for a pure gauge field      297
Lagrangian of free scalar field      256
Lagrangian of general relativity      475
Lagrangian of general relativity without second-order terms      237
Lagrangian, averaged      543 550—554
Lagrangian, Einstein — Cartan      301
Lagrangian, Euler      301
Lagrangian, formalism      110—113
Landau and Lifshitz pseudotensor      471 529
Landau and Lifshitz superpotential      477
Lapse function      32 37 46 61 73 81 90 99 108 113 326
Laser, Einstein and the discovery of      17—21
Legendre transformation      53
Leray 3-form      111
Leray — Schauder degree theory      149
Lichtlawine (light avalanche)      21
Lie algebra      399 (see also “Algebra” “Poincare
Lie algebra of SU(2,2/1)      571
Lie derivative of a metric      236
Lie derivative of a p-form      57
Lie derivative of a spinor-valued form      59
Lie derivative of field variables      472—47 3
Lie derivative, intrinsic to a 3-surface      29
Lie group, structure constants      210 (see also “Group”)
Linearized Einstein equations      122
Linearized stability      65 121—136
Linearized stability of constraints      126—136
Linearized Supergravity      368—370
Liouville manifold      415
Liouville metrics      398
Loops of gravitational field      362—365
Loops, closed, in supergravity      385—389
Lorentz condition      344
Lorentz group as gauge group      309 313
Lump      317
Machine code      498
Magnetic pole      287 299
Majorana field      62 219 366 384 562 577
Manifold of group in gauge theory      310 318—320
Manifold, Grassmann      299
Manifold, intrinsically rigid      460
Manifold, Liouville      415
Manifold, locally plane      461
Manifold, symplectic      42 65 242 395
Manifold, totally geodesic      455
Mass      see “Energy” “Energy-momentum” “Stress-energy”
Mass in an asymptotically flat space-time      174
Mass in the weak-field limit      178
Mass, Bondi      176 477 482 529
Mass, positive mass conjecture      173—193
Mass, positivity in supergravity      382—385
Mathisson — Papapetrou equation      303
Maximal analytic extension      462
Maximal foliation      165
Maximal hypersurface      152—155
Maximal mobility      461
Maximal slices      181 190
Maximal slices in asymptotically Minkowski space-time      154
Maximal slices, existence of for various space-times      155
Maximal surfaces and energy      177
Maxwell field      see “Action” “Canonical
Maxwell field and Gupta — Bleuler quantization      246 250
Maxwell field and nonminimal coupling in supergravity      576
Maxwell field, canonical analysis of      33—41
Membrane      216
Metric of space admitting conformally flat foliation      90
Metric of space admitting K tensor with Segre characteristic [(11)(11)]      428
Metric, 3+1 decomposition of      28
Metric, axially symmetric      183
Metric, degenerate      477
Metric, group      215
Metric, Liouville      398
Metric, strictly decomposable      429 (footnote)
Metric, type D and Killing tensors      422—455
Metrics and cosmologies      see “Space-time”
Metrics and cosmologies, $T_{4}$      341 345 346
Metrics and cosmologies, Bondi      517—520 529 530 531
Metrics and cosmologies, C metric      424 425 427
Metrics and cosmologies, Collinson and French      457
Metrics and cosmologies, D      427 435 451 452
Metrics and cosmologies, de Sitter      272 455
Metrics and cosmologies, Debever      457
Metrics and cosmologies, Dietz      431 432 435
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