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| Àâòîðèçàöèÿ |
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| Ïîèñê ïî óêàçàòåëÿì |
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| Carmeli M. — Classical Fields: General Gravity and Gauge Theory |
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| Ïðåäìåòíûé óêàçàòåëü |
Riemann curvature tensor, peeling-off property of 241
Riemann curvature tensor, spinor equivalent of 434—435
Riemann curvature tensor, symmetry of 70—71
Riemannian geometry 46 52
Riemannian spacetime 33 268
Right dual 70
Rioci spinor 438—439 467
Robertson, H.P. 163
Robinson — Bel tensor 495
Robinson, I. 390 406
Robinson, J.R. 390 406
Rohrilch, F. 404
Roll, P.O. 14 19
Rosen, N. 163 168 178 204
Roskies, R. 552
Rotating black hole 404
Rotating body 212 389 391
Rotating coordinate system 12
Rotating star 389 390
Rotation 141 455 457 458
Rotation, complex 482 491
Rotation, duality 495
Rotation, generator of 172
Rotational symmetry 172
Rotationally symmetric field 172
Rotations around null vectors 458—461
Rotator 366
Rudolph, E. 629 631
s  (matrices) 472—476
Sato, H. 366 383 406
scalar 28 137
Scalar curvature 238
Scalar density 35
Scalar density, Lie derivative of 121
Scalar field 102 103 114 398
Scalar function 22 114 115
Scalar product 26
Scalar product, Hermitian 388
Scalar, optical 141 394
Scalar, Ricci 71—72 394 437 465 467 468
Scattering formula 259
Schattner, R. 627 631
Schiff, L.I. 322 364
Schiffer, S.R. 214 215
Schild, A. 267 363 405
Schroedinger like equation 154
Schwarz, R.A. 336 337 363
Schwarzschild 163
Schwarzschild metric 134 144 155—162 179 180 182 183 230 246 323 365 379 380 386 393 397
Schwarzschild metric in radiation coordinates 246
Schwarzschild metric, Eddington — Finkelstein form of 164—165 196
Schwarzschild metric, exterior 198
Schwarzschild metric, exterior, eneralization of 180 385
Schwarzschild metric, interior 198
Schwarzschild metric, linear approximation form of 215
Schwarzschild metric, maximal extension of 165—168
Schwarzschild radius 160
Schwarzschild singularity 163
Schwarzschild, K. 155 196 389 390
Shapiro, I.I. 227 265
Shear 141 240 241
Similarity transformation 534
Single-pole particle 324
Singularity 189 273 275 281 311 322
Singularity, coordinate 165
Singularity, naked 390
Sirius A and B (binary stars) 262
SL(2,C) (group) 149 397 407—413 415 416 455—463 472 476 491 509 554
SL(2,C) (group), spinor representation of 408—411
SL(2,C) gauge theory of gravitation 135 554 555 558 569—572
SL(2,C) gauge theory of gravitation and Newman — Penrose method 554 571—572
SL(2,C) gauge theory of gravitation, Euclidean version of 579
SL(2,C) gauge theory of gravitation, fiber bundle foundations of 562—569
SL(2,C) gauge theory of gravitation, Palatini-type variational principle for 572—579
SL(2,C) gauge theory of gravitation, renormalizability of 558 578 615—616
Slow motion approximation 277—310
Slow-down of fast moving particle 230
Smith, W.B. 265
Sodano, p. 578 579 616
Solar corona 229
Solar gravitational radiation 259—262
Soliton solutions 559
Solution of coupled Einstein — Yang — Mills field equations 608—616
Solution of first approximation field equations 287—290
Solution of second approximation field equations 290—296 301—310
Source of gauge field 470
Space of representation 409
Space, bundle 559
Space, conformal 73
Space, cotangent 557
Space, dual 557
Space, Euclidean 33
Space, internal 445
Space, isospin 448
Space, linear 409
Space, metric 33
Space, tangent 416
Space, tangent vector 556
Space, topological 555
Space, twistor 615
Spacelike circle 236
Spacetime 562
Spacetime structure and spinors 560—561
Spacetime, conformal structure of 235 239
Spacetime, curved 13 20 415 416
Spacetime, Minkowskian 66 123 180 235 236 278
Spacetime, structure of 122—130
Special linear group 388
Special relativity 212
Spectral resolution of intensity of dipole and quadrupole 256—257
Spectrum of radiation 255
Speed of light wave 227
Spherical coordinates 381
Spherical functions 7
Spherical harmonics 6
Spherical symmetric distribution 156
Spherical waves 235
Spheroidal coordinates 377 383 389
Spheroidal coordinates, prolate 177 181 375 379
Spheroidal wave functions 399
Spin 416
Spin coefficient equations 137 577
Spin coefficients 135—136 393 397 567 571 602 608
Spin curvature interaction 326
Spin matrices 474
Spin tensor 324 333 343
Spin two field 237 238 240 243
Spin-weight 398
Spin-weighted spherical harmonics 399
Spin-weighted spheroidal harmonics 399
Spin-zero field 238
Spinning object 382
Spinning particle 322—328
Spinor affine connection 419 420 424 426 566
Spinor basis 562
Spinor equivalent to the dual of electromagnetic field tensor 426
Spinor equivalent to the dual of gauge field strength tensor 451 466
Spinor equivalent to the dual of Riemann curvature tensor 435 437 443
Spinor equivalent to the dual of Weyl conformal tensor 443
Spinor equivalent to the Einstein tensor 439
Spinor equivalent to the electromagnetic field tensor 425
Spinor equivalent to the electromagnetic potential vector 425
Spinor equivalent to the energy-momentum tensor 428
Spinor equivalent to the energy-momentum tensor of gauge field 452
Spinor equivalent to the gauge field strength tensor 450 466
Spinor equivalent to the gauge potential vector 450
Spinor equivalent to the geometrical metric tensor 417 418 434
Spinor equivalent to the isovector 454
Spinor equivalent to the null vector 419
Spinor equivalent to the real tensor 419
| Spinor equivalent to the Ricci tensor 438
Spinor equivalent to the Riemann curvature tensor 432 434 435 439 440
Spinor equivalent to the tenser (general) 417
Spinor equivalent to the tracefree Ricci tensor 438 439
Spinor equivalent to the Weyl conformal tensor 440
Spinor formulation of Euclidean gauge fields 476—479
Spinor formulation of gravitation and gauge fields 407—480
Spinor method, classification by 500—507
Spinor metric 561
Spinor ray 419
Spinor representation of the group SL(2,C) 408—411
Spinor representation of the group SL(2,C), realization of 409
Spinor structure 555
Spinor, complex conjugate of 419
Spinor, covariant derivative of 419—421
Spinor, curvature 428—434
Spinor, Einstein 439 468
Spinor, electromagnetic field 426 428 483
Spinor, electromagnetic potential 425
Spinor, energy-momentum 452—453
Spinor, gravitational 436—438 467
Spinor, Hermitian 419
Spinor, Levi-Civita metric 416 417
Spinor, Maxwell 426 463
Spinor, Ricci 438—439 467
Spinor, tracefree Ricci 438 439 467
Spinor, two-component 407—415
Spinor, Weyl 437 439—442 467 493 500
Spinor, Yang — Mills 450—452 453 455
Spinorial Ricci identity 430
Spinors 408 445 453
Spinors and spacetime structure 560—561
Spinors in curved spacetimes 415—425
Spinors, basis 445 446
Spinors, correspondence between tensors and 416—419
Spinors, electromagnetic field 425—428
Spinors, Euclidean gauge field 471—480
Spinors, gauge field 450—455
Spinors, gauge potential 450
Spinors, gravitational field 434—445
Spinors, SU(2) 453—455
Spinors, transformation rules for Yang — Mills 455—464
Spinors, two-component 407—415 475 476 560
Spitzer, L.Jr. 264
Standard realization 517
standing waves 199 200
Static gravitational field 130—134 156 172
Stationary axisymmetric metric 365—367
Stationary gravitational field 130—134
Steenrod, N.E. 616
Stephani, H. 405
Stokes theorem 44
Stokes theorem, generalization of 45
Stone, M.L. 265
Stress tensor 189
Stress-energy tensor, Isaacson 403
Structure constants 471
Structure group 562
Structure of spacetime 122—130
Struik, D.J. 77 S3
Sturm — Liouville eigenvalue problem 399
SU(1,1) (group) 388
SU(2) (group) 445 447 471—480 509
SU(2) gauge field theory 445—450
SU(2) gauge fields (classification of) 520—528
SU(2) gauge invariance 446
SU(2) spinor Indices 445
SU(2) spinors 453—455
SU(2) transformation 446—447
SU(3) (group) 509
SU(4) (group) 509
Subbundle 559
Sudarshan, E.C.G. 404
Summation convention 12 22
Sun 214 221 227 225 227 228 233 260 261 262
Sun, Schwarzschild radius of 160 228 229 230
Superior correction 228 229
Supplementary condition 326 337—339 356 358
Supplementary condition in linearized gravitation 209
Supplementary condition, Corinaldesi — Papapetrou 326 331—334 338 360
Supplementary condition, Mofiler 326
Supplementary condition, Pirani 326 338
Supplementary condition, Tulczyjew 326 338
Surjection 559
Symmetric tensor 26
Symmetric tensor, completely 27
Symmetrization 28
Symmetry of curvature spinor 430—431
Synge, J.L. 163 618 631
Tambunno, L. 366 405
Tangent space 416
Tangent vector space 556
Taub, A.H. 406
Tensor algebra 24—26
Tensor densities 35—45 237
Tensor densities, definition of 35—37
Tensor densities, Levi-Civita 37—45 422 423 426
Tensor densities, weight of 35
Tensor field 557
Tensor product 557
Tensor product bundle 563 564
Tensor, algebra of 24—26
Tensor, antisymmetric 26
Tensor, completely skew-symmetric 27
Tensor, completely symmetric 27
Tensor, conformal 72—76 237 238 367
Tensor, contravariant 23
Tensor, covariant 23
Tensor, curvature 67—80 237 428 429 431 432 434—435
Tensor, definition of 23—24
Tensor, dual 38 107
Tensor, Einstein 71—72
Tensor, electromagnetic 106 425 427 583
Tensor, energy-momentum 82 85 86 97 110 142 174 183 185 188 189 190 196 204 210 242 251 281 296 312 336 394—396 600
Tensor, Lie derivative of 118—121
Tensor, mass quadrupole moment 5 7 253 256
Tensor, metric 12 33—35 459
Tensor, mixed 24
Tensor, moment of inertia 5
Tensor, order of 23
Tensor, quadrupole moment 5 7 253
Tensor, Ricci 71—72 76 394 465
Tensor, Riemann 67—80 237 428 429 431 432 434—435 464 465
Tensor, Robinson — Bel 495
Tensor, skew-symmetric 26
Tensor, spin 324 333 343
Tensor, stress 189
Tensor, stress-energy 403
Tensor, symmetric 26
Tensor, torsion 46
Tensor, tracefree Ricci 72 438—439 465
Tensor, two-point 618 621
Tensor, Weyl 72—76 237 238 367 464 488
Tensors 23—26
Tensors, correspondence between spinors and 416—419
Tensors, symmetry of 26—33
Test particle in external gravitational field 267—268
Test particle with structure 322—323
Tests of general relativity theory 213—234
Tetrad components 136—137
Tetrad components of Maxwell tensor 142
Tetrad components of Ricci tensor 137 394
Tetrad components of Weyl tensor 136 394
Tetrad form of Maxwell's equations 142 582
Tetrad formulation of Einstein field equations 135—143
Tetrad vectors 556
Tetrad, null 135 240 392 397 458 459
Teukoisky equation 147 398—405
Teukoisky, S.A. 143 154 396 406
Thomas precession 626 628 630
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