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Weinberg S. — Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity
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Название: Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity
Автор: Weinberg S.
Аннотация: Now that this book is done I can look back, and identify two purposes which led me to begin writing, and which have guided the work to completion.
One good practical purpose was to bring together and assess the wealth of data provided over the last decade by new techniques in experimental physics and in optical, radio, radar, X-ray, and infrared astronomy. Of course, new data will keep coming in even as the book is being printed, and T cannot hope that this work will remain up to date forever. I do hope, however, that by giving a comprehensive picture of the experimental tests of general relativity and observational cosmology, I will help to prepare the reader (and myself) to understand the new data as they emerge. I have also tried to look a little way into the future, and to discuss what may be the next generation of experiments, especially those based on artificial satellites of the earth and sun.
There was another, more personal reason for my writing this book. In learning general relativity, and then in teaching it to classes at Berkeley and M.I.Т., I became dissatisfied with what seemed to be the usual approach to the subject. I found that in most textbooks geometric ideas were given a starring role, so that a student who asked why the gravitational field is represented by a metric tensor, or why freely falling particles move on geodesies, or why the field equations are generally covariant would come away with an impression that this had something to do with the fact that space-time is a Riemannian manifold.
Of course, this was Kinstein's point of view, and his preeminent genius necessarily shapes our understanding of the theory he created...
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Рубрика: Физика /
Статус предметного указателя: Готов указатель с номерами страниц
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Год издания: 1972
Количество страниц: 685
Добавлена в каталог: 08.04.2011
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Предметный указатель
Persei association 437 440
abundance of present universe 554 559
abundance of present universe 488 501 545—546 556—559
Abell, G. 408 466 597 599
Aberration of starlight 236
Abraham, M. 19 23
Absolute luminosity (see Luminosity and luminosity distance)
Absolute magnitude 426—427
Absorption of electromagnetic radiation in intergalactic space 491 501 506 612
Absorption of gravitational radiation 275—276 287—288
Absorption, corrections to luminosity distance 436—437 443—444 446
Action principle (see Variational principle)
Action-at-a-distance 619
Adam, M. G. 89
Adams, J. C. 14
Additivity of the energy and momentum 170 171
Adelard 13
Adiabatic exponent 7 51 309 509 566
Adler, R 88
Affine connection, definition 71—76
Affine connection, definition for maximally symmetric space 388
Affine connection, definition for Robertson — Walker metric 471
Affine connection, definition for static isotropic metric 178
Affine connection, definition for timfe-dependent isotropic metric 336 341
Affine connection, definition in post — Newtonian approximation 215
Affine connection, definition in weak-field approximation 253
Affine connection, definition, small disturbances 290 580—581
Affine connection, definition, trace 107
Affine connection, definition, transformation 100 102
Age of the universe 473 482 484 487 489 621 628—629
Aitken, A. C. 90
Alfven, H. 594 595 608
Allen, C. W. 464 635
Allen, R. 601
Aller, L. H. 598 605 606
Alley, C. O. 633
Alpha Centauri 428
Alpher, R. A. 510 602 604 607
Alvarez, L 557 605
Ambartsumian, V. A. 600
Anderson, J. D. 210
Anderson, J. L. 63 64 89
Angular diameter and angular diameter distance 421—425 461 477 485
Angular momentum, conservation 46 127 166
Angular momentum, conservation and gravitational vector potential 227 229
Angular momentum, conservation for planetary orbits 187 230 629
Angular momentum, conservation in Kerr metric 240
Angular momentum, conservation, definition 46
Anisotropy (see Isotropy)
Antenna temperature 498 508 520
Antimatter, necessity in relativistic quantum mechanics 61—63
Antimatter, presence in universe 470 594—595
Antisymmetrization operator 114
Aperture corrections 443
Apparent luminosity (see Luminosity and luminosity distance)
Apparent magnitude 426—427
Apparent magnitude, limit of Palomar 200
Apparent magnitude, telescope 433 436
Archilochus 630
Arnett, W. D 545 605
Arnowitt, R. 172 295
Arons, J. 602
Arp, H. 466 602
Ash,M.E. 209 210 633
Ashbridge, J. R. 606
Ashbrook, J. 210
Astronomical unit 426—427 636
Asymptotic behavior of the metric 168—169 (see also Quasi-Minkowskian spaces)
Baade, W. 352 431 436—437 446 465 466 467
Bahcall, J. N. 350 467 500 557 558 601 602 603 605 606 608
Bahcall, N. A. 606
Bame, S. J. 606
Bardakci, K. 608
Batchelor, G. K. 607
Baum, W. A. 443 446 448 467
Bazin, M. 88
Beery, J. G. 513 603
Bell, S. J. 353
Beltrami, E. 10 21
Beltran — Lopez, V. 87 90
Bender, P. 633
Benioff, H. 294
Bentley, R. 562
Bergeron, J. 602
Bergkvist, K. E. 604
Bergmann, P. G. 89
Berkeley, G 16
Bernstein, J. 544 604
Bertotti, B. 89 209
Bessel, F. W. 11 67 428
Beta-decay (see Weak interactions)
Bethe, H. 545 602 605
Betti, E. 352
Bianchi identities and field equations 153 302
Bianchi identities and general covariance of action 365
Bianchi identities in Brans — Dicke theory 159
Bianchi identities in cosmology 473
Bianchi identities in weak-field approximation 25
Bianchi identities, and ambiguity of solutions 161 164
Bianchi identities, derivation 146—147
Birkhoff theorem 337—338 348 474
Birkhoff, G. 353
Bisnovatyi — Kogan, G. S. 353
Biswas, S. 606
Bjorken, J. D. 295
Black holes 297 349 479
Black-body radiation (see Black-body temperature)
Black-body temperature 507
Blair, A. G. 513 603
Blamont, J. E. 89
Bludman, S. A. 64 353
Bohr, N. 294
Bolometric luminosities 425 (see also Luminosities and luminosity distance)
Bolt, B. A. 294
Bolton, J. 468
Bolyai, J. 5 6
Bondi, H. 293 334 353 459 464 468 604 622 632
Bonner, W. B. 564 607
Bonola, R. 20 21
Boosts 28—29 31
Borelli, G. A. 4
Bortolot, V. J. 513 603
Boughn, S. P. 521
Boynton, P. E. 513 520
Bracewell, R. N. 520 603
Braginskii, V. B. 209 295
Brandt, J. C. 210
Brans — Dicke theory, cosmology 622—631
Brans — Dicke theory, deflection of light 194
Brans — Dicke theory, derivation of field equations 157—160
Brans — Dicke theory, post — Newtonian approximation 244—248
Brans — Dicke theory, precession of perihelia 197
Brans — Dicke theory, Robertson parameters 183
Brans, C. H. 158 172 622 624 633
Brault, J. 89
Brecher, K. 465 501 527 600 602 604 632
Bredekamp, J. 608
Bremsstrahlung of electromagnetic radiation 500—501 527
Bremsstrahlung of gravitational radiation 265—266
Brightest stars (as distance indicators) 438 443 445—446
Brightness 424
Brill — Cohen solution 241
Brill, D. 89 172 209 293
Brockelman, R. A. 210
Bruhat, Y. 171
Bulk viscosity 55—57 568—569 593-594
Bullialdus, I. 13
Burbidge, G. R. 353 465 487 500 501 545 561 597 598 599 600 601 602 604 605 606
Burbidge, M. 353 465 467 487 500 545 599 600 601 605
Burke, B. F. 513
Burlaga, L. F. 606
Byram, E. T. 604
Cajori, F. 20 21 22
Caldwell, D. O. 604
Callan, C. 607
Cameron, A. G. W. 350 352 353 354 545 598 605
Campbell, D. B. 210
Campbell, W. W. 193
Canuto, V. 35 3
Carter, R 349 354
Cassini, G. D. 427
Cataldi, P. A. 4
Cauchy problem 163—165
Centaurus A (NGC5218 galaxy) 527 638
Cepheid variables 433—438 445—446
Chandrasekhar limit 316 318 349
Chandrasekhar, S. 248 249 294 318 350 352
Chant, C. A. 193
Charge, conservation 40 113 126 363
Charge, conservation and current 39 41 125 361
Charge, conservation, density of universe 470 531 604
Charlier, C. V. I. 408 466
Chase, J. E. 354
Chemical potentials 530—531 551 560—561 590—591
Chen, H. H. 609
Chernin, A. D. 607
Chernyshev, V. I. 513 603
Chibisov, G. V. 607
Chiral symmetry 93 113
Chiu, H. Y. 353
Christenson, J. H. 64
Christy, R. 466 558 606
Chubb, T. A. 600 604
Circumference (of a closed maximally symmetric space) 391 490
Clarke, F. W. 545 605
Clarke, S. 16 22
Clauser, J. F. 513 603
Clayton, D. D. 488 545 598 601
Clemence, G. M. 22 198 209
Clusters of galaxies 440 478—479 501 639
Coasting period 615—616
Cocconi, G. 87 90
Cohen, J. M. 249 354
Colgate, S. A. 354
Collins, R. A. 353
Color index 426—427
Coma cluster 478 479 639
Commutation relations of covariant derivatives 140
Commutation relations of creation and annihilation operators 288
Commutation relations of spin matrices 59—60
Comoving coordinates 338 342 413 415 485
Composite particle model, in very early universe 589—592 594
Compressional normal modes 573—578 586—588
Compton scattering 501 527
Conformal transformations 28 145 146
Congruences 86 139
Conklin, E. K. 520 521 523 603
Conservation (see Angular momentum)
Continuous creation 460 618
Contraction of indices 37 69 100 105
Contravariant vectors and tensors 35 39 94 98
Convective equilibrium 301 325
Coordinate conditions 161 164
Coordinate tensors and scalars 367
Coral fossils 630 631
Corinaldesi, E. 249
Cosmic rays 480 526—528 558
Cosmic scale factor (R) 412 415 416 441 451 571 591
Cosmic time and cosmic standard coordinates 409—412 459 617
Cosmological constant (X) 155 613 616
Cosmological principle 407 412
Coulomb scattering 266 568
Covariant differentiation 103—106
Covariant differentiation, along a curve 110 111
Covariant differentiation, in tetrad formalism 368 370
Covariant differentiation, of p-forms 116
Covariant vectors and tensors 35 39 94 98
Cowling, T. G. 64
Cowsik, R 501 544 602 604
Critical density in cosmology 476 480 481
Critical density in cosmology for neutron stars 319
Critical density in cosmology for white dwarfs 315
Critical mass (for damping of fluctuations) 569—570
Cronin, J. W. 64
Cross-sections for gravitational radiation 275—284
Curl 43 106 109 116
Curott, D. 606 630 633
Current form-vector (see Charge)
Curvature scalars 135 142—146 153 207 364—365 383 460
Cyanogen absorption lines 512—515
Cyclic derivative of antisymmetric tensors 108
Cyclic sum rule 141 143
Cygnus A (galaxy) 497
Danziger, I. J. 599 606
Davidson, C. R. 193 209
Davidson, W. 464 600
Davies, R. D. 601
Davis, M. 354
Davis, M. M. 468
Davis, R. 557 558 605 606
de Cheseaux, J. P. L 611 612 613 631
de la Cruz, V. 354
de Sabbata, V. 608
de Sitter cosmology 392 615—616
de Sitter, W. 249 404 615 632
de Vaucouleurs, G. 408 439 444 466 467 600 603
de Witt, B. 289 293 295
Deflection of light by gravitational fields 19 20 188—194
Deflection of light by gravitational fields for cosmic microwave background 518
Deflection of light by gravitational fields in general post — Newtonian field 222
Deflection of light by gravitational fields in observations of precession,of gyroscopes 236
Deflection of light by gravitational fields in search for collapsed galaxies 479
Deflection of light by gravitational fields of perihelia 198
Degeneracy (see Fermi gases Neutrinos Neutron Pauli
Delay — Doppler mapping 203
Delta Cephei 436
Delta function 39 125 263
Demarque, P. R. 605
Density contrast (see Compressional normal modes)
Density of the Universe 475 481 491 614 617 628—629
Deser, S. 172 295 354 632
Deuterium abundance of the present universe 554 (see also Nucleosynthesis)
Development angles ( 6 40 482—484 574 575
Dicke, R. H. 13 21 69 87 89 90 158 172 200 201 205 209 210 233 488 511 513 601 602 607 622 624 630 631 633
Dickson, F. P. 465 631 632
Differential forms 114 115
Dirac cosmology 620—622 629—631
Dirac electron field 60 366—367
Dirac, P. A. M. 293 295 620 621 632
Direct product of p-forms 114
Direct product of tensor densities 100
Direct product of tensors 37 96
Dispersion in the intergalactic medium 503— 506
Dissipation (see Bulk viscosity Entropy production Heat
Distance modulus 426—427 442 443
Divergence of vectors, tensors 107 109 116
Dobbs, J. W. T. 22
Dodwell, G. F. 193
Doppler effect 30—31 81 203 297 417 429
Doroshkevich, A. G. 354 600 607 608
Douglas, D. H. 294
Draco system 438 639
Drell, S. D. 295
Drever, R. W. P. 90
Duncombe, R. L. 209
Dupree, A. K. 606
Dyce, R. B. 210
Dynamic symmetries 93
Dyson, F. J. 209 294 354
Dyson, F. W. 193 209
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