|
|
 |
| Àâòîðèçàöèÿ |
|
|
|
| Ïîèñê ïî óêàçàòåëÿì |
|
|
|
|
|
|
|
 |
|
|
|
| Misner C.W., Thorne K.S., Wheeler J.A. — Gravitation |
|
|
|
| Ïðåäìåòíûé óêàçàòåëü |
Spinors algebra of 1151—1155
Spinors analyze appearance of night sky 1160—1164
Spinors and orientation-entanglement relation 1148ff
Spinors as tool in gravitation theory 1164f
Spinors conjugate complex 1150
Spinors correspondence with vectors 1150ff
Spinors defined by their law of transformation 1148ff
Spinors flagpole plus flag plus orientation-entanglement relation 1157—1160
Spinors general account, Chap 41
Spinors in curved spacetime 1164
Spinors of higher rank 1151
Spinors spin space and basis spinors 1156
Spinors spinor equivalent of tensors 1153f
Spinors with dotted indices 1150
Standard candle 789
Standard hot big-bang cosmological model see under “Cosmology”
Star clusters, relativistic 621 635
Star clusters, relativistic analysis of structure 679—683
Star clusters, relativistic collapse of 884
Star clusters, relativistic creation by evolution of a galactic nucleus 634
Star clusters, relativistic equations of structure summarized 683f
Star clusters, relativistic possible roles in quasars and galactic nuclei 634 687
Star clusters, relativistic relativistic instability in 621 686f
Star clusters, relativistic specific models isothermal, spherical 685ff
Star clusters, relativistic specific models isotropic 683f
Star clusters, relativistic specific models self-similar 683
Star clusters, relativistic specific models with purely circular orbits 683
Star operations see “Duality”
Starquake 628
Stars see “Binary stars” “Cepheid “Neutron “Supermassive “White
Stars, evolution into final state 621 624 627—629
Stars, Newtonian equations of structure 601—602 605ff
Stars, Newtonian gravitational energy 606—607
Stars, Newtonian pulsation theory dynamical analysis 697f
Stars, Newtonian pulsation theory virial-theorem analysis 1079f
Stars, Newtonian pulsation theory volume-averaged analysis 630f
Stars, Newtonian uniform-density model 609
Stars, relativistic, nonrotating boundary conditions for 694
Stars, relativistic, nonrotating collapse of see “Collapse” “Gravitational”
Stars, relativistic, nonrotating eigenvalue problem for normal modes 695f
Stars, relativistic, nonrotating Newtonian limit 697f
Stars, relativistic, nonrotating nonradial pulsation of 984f
Stars, relativistic, nonrotating post-Newtonian limit 698f 1080
Stars, relativistic, nonrotating radial pulsation of dynamic analysis 688—699
Stars, relativistic, nonrotating specific models Fermi-gas model with  615ff
Stars, relativistic, nonrotating specific models how to construct 608f
Stars, relativistic, nonrotating specific models numerical models for white dwarfs and neutron stars 625ff 696
Stars, relativistic, nonrotating specific models Schwarzschild’s uniform-density model 609—612
Stars, relativistic, nonrotating stability of critical adiabatic index for radial pulsations 697ff
Stars, relativistic, nonrotating stability of pulsational instability in massive stars 632
Stars, relativistic, nonrotating stability of relativistic instability 605 697ff “Neutron “Supermassive
Stars, relativistic, nonrotating structure curvature tensors for 360f
Stars, relativistic, nonrotating structure embedding diagrams for 613—615 617
Stars, relativistic, nonrotating structure equations of structure derived 600—606
Stars, relativistic, nonrotating structure equations of structure summarized 608—609 689
Stars, relativistic, nonrotating structure external gravitational field see “Schwarzschild geometry”
Stars, relativistic, nonrotating structure in extensor Chaps. 23 24
Stars, relativistic, nonrotating structure isotropic coordinate system 595
Stars, relativistic, nonrotating structure mass-energy inside radius r 602ff
Stars, relativistic, nonrotating structure monotonicity of r 612—613 615
Stars, relativistic, nonrotating structure must be spherical 593
Stars, relativistic, nonrotating structure must have 2m/r<1 605 612f 615
Stars, relativistic, nonrotating structure Newtonian limit of equations of structure 601—602 605ff
Stars, relativistic, nonrotating structure Newtonian limit of gravitational potentials 595
Stars, relativistic, nonrotating structure parameters describing matter 597—600
Stars, relativistic, nonrotating structure proper reference frame of fluid 598
Stars, relativistic, nonrotating structure Schwarzschild coordinate system 597
Stars, relativistic, nonrotating structure total number of baryons 606
Stars, relativistic, rotating rapidly rotating disks 621
Stars, relativistic, rotating slowly rotating, spherical stars 699
Stars, relativistic, rotating stabilizing effects of rotation 633f
Static limit 879ff 894
Stationary gravitational field hydrostatic equilibrium in 566
Stationary gravitational field thermal equilibrium in 568
Steady coordinates 964
Steady-state cosmology 745 750 770
Stokes theorem, generalized 96f 127
Stokes theorem, generalized applications 96f 125 378
Stokes theorem, generalized content in pictures 117
Stokes theorem, generalized Gauss’s theorem as special case 97 150f
Stress see “Stress-energy tensor”
Stress-energy pseudotensor see “Pseudotensor”
Stress-energy tensor as functional derivative of Lagrangian 485 503ff
Stress-energy tensor as machine to reveal energy density, momentum density, and stress 131f
Stress-energy tensor in extensor Chap. 5
Stress-energy tensor physical interpretation of components 137f
Stress-energy tensor specific form for electromagnetic field 139—140 480ff
Stress-energy tensor specific form for geometric-optics waves 579
Stress-energy tensor specific form for gravitational field in general relativity see “Pseudotensor”
Stress-energy tensor specific form for gravitational field in spin-2 theory 425
Stress-energy tensor specific form for nearly Newtonian fluid 152 154
Stress-energy tensor specific form for perfect fluid 132 140
Stress-energy tensor specific form for photons in geometric optics limit 579f
Stress-energy tensor specific form for scalar field 504f
Stress-energy tensor specific form for spherical star cluster 680 682
Stress-energy tensor specific form for stressed medium with no heat flow 1086f
Stress-energy tensor specific form for swarm of particles (kinetic theory) 138f 589f 680 682
Stress-energy tensor specific form for viscous fluid with heat flowing through it 567
Stress-energy tensor summarized 131—132
Stress-energy tensor symmetry of 141—142
Stress-energy tensor vanishing divergence 152
Structure (see also “Global techniques Horizons”
Structure Cartan’s equation of 378
Structure constants, of rotation group 243
Structure deformation of 530
Structure differentiable 242
Structure symplectic, of Hamiltonian mechanics 125—126
Sum over histories see “Feynman’s sum over histories”
Sum-for-inertia see “Mach’s principle”
Summation convention, Einstein’s 9
Sun (see also “Experimental tests of general relativity”)
Sun effect on tides 44
Sun gravitational field in PPN formalism 1097ff
Sun mass deduced from planetary orbits 638
Sun observed redshift of light from 1058ff
Sun quadrupole moment 1112f 1115f 1053f
Sun radiation flux negligible compared to pressure 1075
Sun velocity relative to Galaxy, local group, and universe 1114
Super-Hamiltonian contrasted with Hamiltonian 488f
Super-Hamiltonian for mixmaster cosmology 809—813
Super-Hamiltonian for test-particle motion in combined electromagnetic and gravitational fields 897f
Super-Hamiltonian for test-particle motion in electromagnetic field 488f
Super-Hamiltonian for test-particle motion in gravitational field 654
Supermassive stars 620f 634
Supermassive stars adiabatic index in 633
Supermassive stars convection in 600
Supermassive stars entropy constant in 600
Supermassive stars possible roles in quasars and galactic nuclei 634 (see also “Neutron stars” “White
Supermassive stars pulsational instability in 632—633
Supermassive stars relativistic instability in 605 620 633f
Supermassive stars rotation as a stabilizer 633—634
Supernova 619 622
Supernova as source of gravitational waves 982 987 1040 1042
Supernova Crab nebula created by, ii 619f
Supernova theoretical scenario for 628
Superspace 1180—1183
Superspace as starting point for Einstein’s geometrodynamic law 423
Superspace conserved probability current in 1189
Superspace mixmaster version (“minisuperspace”) 806
Superspace of 2-geometries 221
Superspace quantum fluctuations 1180
Superspace spread-out wave versus wave packet 1185
Superspace truncated, skeleton version 1181
Surface integral see “Integration”
Surface of last influence 873f
Symmetries of spacetime see “Killing vector fields”
Symmetries, more subtle than symmetry and antisymmetry 86
Symmetrization, of tensor 83
Symmetry of tensor, indicated by round or square bracket 126
Symmetry operations as tensors 126 128—129
| Synchronous coordinate system 717 (see also “Gaussian normal coordinate system”)
Systeme International (SI) second 28
Tails of waves in curved spacetime 957 864f 869ff
Tangent space 205 227—231
Tangent space at neighboring points, linked 246f 252
Tangent vector see “Vector tangent”
Taub-NUT space 940
TCP, experimental tests of 1054
Teichmueller space 221
Temperature see “Thermodynamics”
Temperature, redshift of 568 588 685
Tensor density 501f
Tensors algebraic operations extended to general frames 201—207 233f
Tensors ambiguity of slots removed by component notation 84
Tensors components of in general frame 201—204 312
Tensors components of in Lorentz frame 75f
Tensors covariant derivative introduced 208ff 257—261
Tensors Lie derivative introduced 517
Tensors machine-with-slots definition 22 74ff 131 133f 233f 310f
Tensors operations on, introduced in global Lorentz frame addition 76
Tensors operations on, introduced in global Lorentz frame basis tensors 76
Tensors operations on, introduced in global Lorentz frame contraction 82 84
Tensors operations on, introduced in global Lorentz frame divergence 82
Tensors operations on, introduced in global Lorentz frame duality 85 87 88
Tensors operations on, introduced in global Lorentz frame gradient 81—82 84
Tensors operations on, introduced in global Lorentz frame indices, raising and lowering 75—76
Tensors operations on, introduced in global Lorentz frame integration 147ff
Tensors operations on, introduced in global Lorentz frame multiplication by scalar 76
Tensors operations on, introduced in global Lorentz frame symmetrization, antisymmetrization 83 85f 126
Tensors operations on, introduced in global Lorentz frame tensor product 76
Tensors operations on, introduced in global Lorentz frame transpose 83
Tensors operations on, introduced in global Lorentz frame wedge product 83
Tensors rank, defined 75f 234
Tensors spinor representation of 1153—1155
Tensors summaries of formalism for manipulating in curved manifold with metric 203f 223f
Tensors summaries of formalism for manipulating in global Lorentz frame 85
Tensors summaries of formalism for manipulating in manifold without metric 233f
Tensors, completely antisymmetric see “Forms differential”
Tensors, first rank see “Vectors” “Forms 1-forms”
Tensors, second-rank symmetric, decomposition of 947
Test particle, freely falling, defines geodesic 196
Test particles more needed to explore Riemann curvature 72
Test particles three needed to explore Lorentz force 72
Tests of general relativity see “Experimental tests of general relativity”
Tetrad carried by a uniformly accelerated observer 169—170
Tetrad carried by accelerated observer 328—332
Tetrad in Fermi — Walker transport 170—171
tetrahedron 307 309
Theories of gravitation see “Gravitation theories
thermal conductivity see “Heat conduction”
Thermal equilibrium in a stationary gravitational field 568
Thermodynamics (see also “Hydrodynamics”)
Thermodynamics basic concepts defined adiabatic index 692
Thermodynamics basic concepts defined baryon number density 558
Thermodynamics basic concepts defined chemical free energy 561
Thermodynamics basic concepts defined chemical potential 558 561 562
Thermodynamics basic concepts defined density of total mass-energy 558
Thermodynamics basic concepts defined entropy 4-vector 567
Thermodynamics basic concepts defined entropy per baryon 558
Thermodynamics basic concepts defined equations of state 560
Thermodynamics basic concepts defined heat-flux 4-vector 567
Thermodynamics basic concepts defined multicomponent fluid 558
Thermodynamics basic concepts defined physical free energy 561
Thermodynamics basic concepts defined pressure 558
Thermodynamics basic concepts defined primary thermodynamic potential 561
Thermodynamics basic concepts defined simple fluid 558
Thermodynamics basic concepts defined temperature 508
Thermodynamics basic concepts defined viscosity coefficients 567
Thermodynamics basic references 557n 568
Thermodynamics extension of formalism when nuclear burning occurs 558
Thermodynamics in exienso 557—562
Thermodynamics laws and equations of (see also “Conservation laws baryons”;
Thermodynamics laws and equations of law of heat conduction 559
Thermodynamics laws and equations of Maxwell relations 561 564
Thermodynamics some applications and processes chemical potential for an ideal Fermi gas 565
Thermodynamics some applications and processes injection energy 561f
Thermodynamics some applications and processes pair production at high temperatures 558
Thermodynamics some applications and processes shock waves 559
Thin-sandwich conjecture 534
Thomas precession 175—176 1118 1146f
Three-geometry (see also “Initial value Spacelike
Three-geometry as carrier of information about time 488 533
Three-geometry conformal in York’s formulation of initial-value problem 540—541
Three-geometry conformal pure spin-2 representation via York curvature 541
Three-geometry fixed at surface in ADM formulation 522
Three-geometry of initial and final spacelike hypersurfaces 488
Three-geometry YES vs. NO vs. quantum probability for 1184f
Three-plus-one split of spacetime 486 505
Three-plus-one split of spacetime 4-metric vs. 3-metric in 508
Three-plus-one split of spacetime choice of slicing doesn’t matter 526
Three-plus-one split of spacetime sandwiches and rigidification 506
Three-plus-one split of spacetime via 3-metric plus lapse and shift 506—507
Tidal forces 823 860ff Geodesic
Tides, produced by sun and moon 38 44 391f
Time (see also “Bubble-time derivative Clocks Day”
Time defined so motion looks simple 23—29
Time dilation, experimental tests of 1054f
Time end of in gravitational collapse Chap. 44
Time imaginary coordinate for, not used 51
Time many-fingered 495 498 527
Time Newtonian universal 40 299
Time proper see “Interval”
Time standards of 23—29
Tired light 775
Tolman universe 733
Topology of spacetime (see also “Differential topology”)
Topology of spacetime Einstein vs. flat space views of 437
Topology of spacetime various possibilities for Friedmann cosmological models 725
Topology of spacetime various possibilities for Schwarzschild geometry 837—840
Topology, point-set 241 926n
Torque of sun and moon on Earth 391—392
Torsion not present in affine connection if equivalence principle is valid 250
Torsion possible incorporation into general relativity 1049 1068
Torsion vanishes in Riemannian geometry 378
Tortoise coordinate 663 665—666
Torus, three-dimensional 284 725
Transformations active vs. passive 1140
Transformations of connection coefficients 262
Transformations of spinors 1149f
Transformations of tensors 201—204
Transpose of tensor 83
Transverse-traceless gauge in a curved background 969
Transverse-traceless gauge in linearized theory 946—950
Trapped surface 934 936
Trivector, defined 83
Tubes of force 102 114
Twin “paradox” 167
Twistors 937
Two-form see “Forms differential”
Two-length-scale expansion 571f
Unified theory of electricity and gravitation, Riemann’s unsuccessful search for 32 221
Uniqueness of free fall (“weightlessness”, “weak equivalence principle”) 13—19 197 1050—1054
Uniqueness of free fall (“weightlessness”, “weak equivalence principle”) contained in Einstein’s 1911 equivalence principle 17
Uniqueness of free fall (“weightlessness”, “weak equivalence principle”) Einstein’s 1908 formulation 5
Uniqueness of free fall (“weightlessness”, “weak equivalence principle”) experimental tests of 13—17 1051—1054
Uniqueness of free fall (“weightlessness”, “weak equivalence principle”) formulation of this book 1050
Universal Time (UT0, UT1, UT2) 28
Universe see “Cosmological models Cosmology”
Variational principles for geometrodynamics Arnowitt, Deser, Misner exploited 526
Variational principles for geometrodynamics Arnowitt, Deser, Misner in simplest form 521
Variational principles for geometrodynamics Arnowitt, Deser, Misner specialized to mixmaster cosmology 808f
Variational principles for geometrodynamics Hilbert’s 434
Variational principles for geometrodynamics Hilbert’s grounded in quantum character of physics 499f
Variational principles for geometrodynamics Hilbert’s in brief 418 485
Variational principles for geometrodynamics Hilbert’s in exienso Chap. 21
Variational principles for geometrodynamics Hilbert’s in space-plus-time split 519f
Variational principles for geometrodynamics Hilbert’s put into ADM form 520
Variational principles for geometrodynamics Hilbert’s Sakharov renormalization of 426
Variational principles for geometrodynamics Hilbert’s scalar curvature as integrand in 491 519
Variational principles for geometrodynamics Hilbert’s what fixed at limits 485
|
|
|
| Ðåêëàìà |
|
|
|
|
|
Î ïðîåêòå