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| Àâòîðèçàöèÿ |
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| Ïîèñê ïî óêàçàòåëÿì |
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| Straumann N. — General relativity and relativistic astrophysics |
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| Ïðåäìåòíûé óêàçàòåëü |
Differential forms, interior product of 28—29 71
Differential forms, local basis of 21
Differential forms, tensor valued 65 73
Differential of a function 17
Differential of a map 10
Differential of component functions 18
Differential one-form 19
Differential topology 6
Dimension of differential manifold 12
Dimension of p-forms 28
Dimension of topological manifold 12
Disk accretion basic equations for thin disks 401—406
Disk accretion basic equations for thin disks, angular momentum conservation 403
Disk accretion basic equations for thin disks, energy conservation 404
Disk accretion basic equations for thin disks, equation of state 401
Disk accretion basic equations for thin disks, equations for vertical structure 405
Disk accretion basic equations for thin disks, mass conservation 402
Disk accretion basic equations for thin disks, radial momentum conservation 404
Disk accretion early theoretical work 401
Disk accretion, Keplerian disks 406
Disk accretion, Keplerian disks, effective temperature distribution 409
Disk accretion, Keplerian disks, efficiency 408
Disk accretion, Keplerian disks, emission spectrum 409—410
Disk accretion, Keplerian disks, luminosity 408
Disk accretion, Keplerian disks, opacity 408
Disk accretion, Keplerian disks, radial structure equations 406
Disk accretion, Keplerian disks, vertical structure equations 407
Disk accretion, relativistic Keplerian disks 425
Disk accretion, relativistic Keplerian disks, basic equations 425—427
Disk accretion, relativistic Keplerian disks, dissipation function 427—429
Disk accretion, relativistic Keplerian disks, energy production 430—431
Disk accretion, relativistic Keplerian disks, torque equation 429
Disk accretion, stability of accretion disks 419
Disk accretion, stability of accretion disks, basic equations 420—423
Disk accretion, stability of accretion disks, dispersion law 423—424
Disk accretion, stability of accretion disks, modes of instability 424—425
Disk accretion, stability of accretion disks, stability criterion 424
Disk accretion, standard disks 410
Disk accretion, standard disks a-law 411
Disk accretion, standard disks, analytic solutions 414—415
Disk accretion, standard disks, numerical solutions 416—418
Disk accretion, standard disks, radial structure 413
Disk accretion, standard disks, vertical structure for polytropic equation of state 411
Disk accretion, standard disks, viscosity see also “Accretion” 410—411
Dissipation function 405 427 435
Divergence of vector field 45
Divergence theorem 46
Domain of dependence 160
Doppler shift 108—109
Dual basis 17
Dual basis, in cotangent space 17
Dual basis, of one-forms 61 72
Dual basis, of vector fields 20 72
Dual space 17
Dual transformation 23
Dyson — Lenard — Lieb — Thirring theorem 323
Eddington luminosity 382 388 414
Eddington — Finkelstein coordinates 198—199
Eddington — Robertson parameters 182
effective mass 308 310—311
Einstein 77 87 80
Einstein Observatory 306 374
Einstein tensor 61 130 132
Einstein tensor, linearized 214
Einstein tensor, of a spherically symmetric field 168—169 211
Einstein — Fokker theory 135
Einstein — Infeld — Hoffmann equations 255
Einstein — Infeld — Hoffmann equations, Lagrangian for 255
Einstein — Rosen bridge 198
Einstein's field equations 127ff
Einstein's field equations, characteristics of 163ff
Einstein's field equations, dependence of 139
Einstein's field equations, heuristic derivation 129
Einstein's field equations, in tetrad formalism 140—141
Einstein's field equations, Landau — Lifshitz decomposition of 158ff
Einstein's field equations, linearized 215 217—218
Einstein's field equations, uniqueness 129ff
Einstein's quadrupole formula 235
Electrodynamics 93—94
Electrodynamics, analogy with 143—144
Electrodynamics, formulation with exterior calculus 94f
Electrodynamics, identity as a consequence of gauge invariance 139—140 144
Electrodynamics, in tetrad formalism 152—153
Electrodynamics, shell-blocking effects 345
Electron capture 280 336 345
Electron fraction 280
Electron fraction, of collapsing core 345
Electron fraction, of iron-nickel core 280
Embedding 7
Emission of gravitational radiation 233ff
Emission of gravitational radiation, of a binary system 237ff
Energy and momentum conservation 91—92 142 144
Energy and momentum of gravitational waves 234—235 237
Energy and momentum of gravity for isolated systems 154—155
Energy and momentum tensor, for system of point-particles 252
Energy and momentum tensor, in geometric optic limit 104
Energy and momentum tensor, in Lagrangian field theory 141 142
Energy and momentum tensor, in post-Newtonian approximation 253
Energy and momentum tensor, of electromagnetic field 142—143 153
Energy and momentum tensor, of ideal fluid 91
Energy and momentum tensor, symmetry of 151
Energy and momentum three forms 149 155
Energy and momentum total 154
Energy and momentum total, for Schwarzschild solution 170—171
Energy and momentum total, of isolated systems 154ff
Energy transport equation 307 407
Entropy during supernova formation 344
Entropy flux four-vector 436—438
Entropy of iron-nickel core 280 344
Entropy per baryon 307 343 436
Entropy production 438—439
Eotvos experiment 78
Equation of state, for hot plasma 393 401
Equation of state, for ideal n-p-e mixture 294
Equation of state, general properties 299 309
Equation of state, polytropic 338
Equation of state, realistic equations of state 298 304 308 319
Equivalence principle see “Principle of equivalence”
Ergosphere 366
Euler equations 434
Euler equations, relativistic 92
Euler — Lagrange equation see “Variational principle”
Event horizon see also “Black holes” 197 200 367—368
Evolution of massive stars 280
Evolution of massive stars, acceleration in late phases 334 337
Evolution of massive stars, evolutionary tracks 333
Evolution of massive stars, instability of core 280 337 341
Evolution of massive stars, leading to degenerate cores 280 337
Evolution of massive stars, mass of degenerate core 337
Evolution of massive stars, neutrino emission and 280 334
Evolution of massive stars, nuclear statistical equilibrium 333 338
Evolution of massive stars, onion structure 333
Evolution of massive stars, presupernova 332
Evolution of massive stars, thermonuclear reactions 333
Expansion tensor 439
Exponential mapping 50
Exponential mapping, and normal coordinates 50
Exterior algebra 28
Exterior algebra, of differential forms 29
Exterior derivative 32 35 71
Exterior derivative, expression for 35 71
Exterior derivative, morphisms and 333
Exterior differential forms 29
Exterior differential forms, components of 30
Exterior differential forms, induced mapping of 30
Exterior forms 27
Exterior product 27
Fermat metric 110
Fermat's principle 99
Fermi, derivative 113—114 127
| Fermi, transport 113ff
Field strength electromagnetic 93
Field strength electromagnetic, in a static Lorentz manifold 110
Field strength gravitational-inertial 90
Fitting procedure of Eckart 439
Flat manifold 68
Flat manifold, locally 68
Flow of vector field 21f
Flow of vector field, global 22
Flow of vector field, local 22
Fourier law nonrelativistic 436
Fourier law relativistic 439
Gap energy in superfluids 311—312
Gap energy in superfluids, density dependence 312
Gauge conditions 161 244 247 251
Gauge group of linearized theory 215 217
Gauge harmonic 162 228
Gauge Hilbert 218 220 227
Gauge traceless transverse (TT) 223
Gauge transformation in linearized theory 215—216 218 220—221
Gauge transformations 88 139
Gaunt factor 397
Gauss' formulas for submanifolds 162
Gauss' theorem 45—46
Gaussian coordinates see “Normal coordinates”
Geodesic curve 50
Geodesic curve, equation for 50
Geodesic curve, in local coordinate system 50 119
Geodesic deviation 125
Geodesic deviation, equation of 125
Geodesic deviation, in a gravitational wave 224
Geometric optics 100
Germ of paths 14
Germ of smooth functions 10
Germ of smooth mappings 9
Ginzburg — Landau parameter 311
Grassman algebra see also “Exterior algebra” 28
Gravitational Bohr radius 81
Gravitational collapse qualitative picture 371—372
Gravitational collapse spherically symmetric see also “Black holes; Core collapse; Supernova formation; Supernovae” 200ff
Gravitational constant 81
Gravitational constant, change of 186
Gravitational energy see “Energy and momentum”
Gravitational energy nonlocalizability of 146
Gravitational field 90
Gravitational field equation 127ff
Gravitational field external 89ff
Gravitational field geometric optics in a 100ff
Gravitational field spherically symmetric 208—209
Gravitational field static 97—98 104ff 115ff 172
Gravitational field weak 96—97 132 214ff
Gravitational field, at large distances from the source 226ff
Gravitational field, stationary 104ff 115ff
Gravitational fine structure constant 81
Gravitational interaction strength of 81
Gravitational interaction universality of 82
Gravitational radiation 233—234
Gravitational radiation, Einstein's quadrupole formula 235
Gravitational radiation, from binary pulsar system 240 270
Gravitational radiation, from binary star system 237
Gravitational radiation, in core collapse 281
Gravitational radiation, of nonstationary black hole 361 372
Gravitational radiation, of rotating neutron star 354
Gravitational red shift see also “Red shift” 83ff
Gravitational waves in the linearized energy flux of 234—235 237
Gravitational waves in the linearized geodetic deviation in see also “Einstein's field equations; Energy and momentum” 224
Gravitational waves in the linearized theory 220ff
Hadronic neutral current 342
Hamilton's principle see “Variational principle”
Hawking's area theorem 369f
Heat conduction 307
Heat flux four-vector 438
Helicity 222
Helium flash 381
Hercules X-l 348 374 377—378
Hercules X-l, cyclotron line 349
Hercules X-l, magnetic field 349
Hercules X-l, optical companion 377
Hercules X-l, pulsation and orbital periods 374
Hercules X-l, x-ray spectrum 349
Horizon for Kerr — Newman metric 367—368
Horizon for Schwarzschild metric see also “Black holes” 171 197 200—201
Hydrodynamics of viscous fluids for perfect fluid 92
Hydrodynamics of viscous fluids nonrelativistic theory 432
Hydrodynamics of viscous fluids nonrelativistic theory, continuity equation 433
Hydrodynamics of viscous fluids nonrelativistic theory, decomposition of velocity gradient 432
Hydrodynamics of viscous fluids nonrelativistic theory, different forms of energy equation 434—435
Hydrodynamics of viscous fluids nonrelativistic theory, equations of motion 434
Hydrodynamics of viscous fluids nonrelativistic theory, substantial derivative 432
Hydrodynamics of viscous fluids nonrelativistic theory, transport theorem 433
Hydrodynamics of viscous fluids relativistic theory 436
Hydrodynamics of viscous fluids relativistic theory, energy balance equation 439
Hydrodynamics of viscous fluids relativistic theory, energy-momentum tensor 440
Hydrodynamics of viscous fluids relativistic theory, entropy production 438—439
Hydrodynamics of viscous fluids relativistic theory, equilibrium 436
Hydrodynamics of viscous fluids relativistic theory, relativistic Fourier law 439
Hydrodynamics of viscous fluids relativistic theory, relativistic Navier — Stokes equation 440
Hydrodynamics of viscous fluids relativistic theory, small departures from equilibrium 437
Ideal fluid 91
Ideal fluid, conservation of energy-momentum tensor of 144
Ideal fluid, spherically symmetric solution for 212—213
Ideal fluid, static field of see also “Euler equations; Hydrodynamics of viscous fluids” 129
Immersion 6f
Induced algebra homomorphism 10
Induced derivation 31
Induced mappings 23 30
Induced orientation of boundary 44
Induced Riemannian metric 46
Induced scalar product 38
Inertial system global 86
Inertial system local 83 89 147
Infinitesimal transformation 24
Integral curve of vector field 21
Integration of differential forms 42—43
Invariant tensor field 24
Isolated systems see also “Angular momentum; Energy and momentum” 154ff
Isometry 68
Isometry infinitesimal see “Killing field”
Jacobi equation 125
Jacobi field 125
Jacobian of mapping 12
Kerr — Newman metric 362
Kerr — Newman metric, asymptotic field 363
Kerr — Newman metric, Boyer — Lindquist coordinates 362 364
Kerr — Newman metric, coordinate singularity 367
Kerr — Newman metric, horizon 366 368
Kerr — Newman metric, Kerr-coordinates 367
Kerr — Newman metric, special cases 362
Kerr — Newman metric, structure of light cones see also “Killing fields” 367
Killing equation 105 146
Killing fields 104ff 115ff
Killing fields for Kerr — Newman metric 364
Killing fields for Schwarzschild metric 174 192—193
Komar formula 232
Kruskal continuation of Schwarzschild solution 190ff
Kruskal coordinates 193 195 197 200
Kruskal diagram 196 200
Kruskal transformation see also Schwarzschild; Black holes” 195
Lagrange point 376
Lagrangian for 256
Lagrangian formalism 135ff
Lagrangian formalism, density, of matter fields 140
Lagrangian formalism, density, of matter fields, invariance properties of 150—151
Lagrangian formalism, density, of matter fields, of the electromagnetic field 140
Lagrangian formalism, density, of matter fields, relative to an orthonormal basis 153
Lagrangian formalism, density, of matter fields, total 149
Lagrangian formalism, for a test particle in a Schwarzschild field 137ff
Lagrangian formalism, for the linearized theory 217
Landau parameters 310 315
Landau — Lifschitz three forms see “Pseudotensors”
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