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Straumann N. — General relativity and relativistic astrophysics
Straumann N. — General relativity and relativistic astrophysics



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Название: General relativity and relativistic astrophysics

Автор: Straumann N.

Аннотация:

This book divides into three parts. Part I develops the mathematical tools used in the general theory of relativity. Since I wanted to keep this part short, but reasonably self-contained, I have adopted the dry style of most modern mathematical texts. Readers who have never before been confronted with differential geometry will find the exposition too abstract and will miss motivations of the basic concepts and constructions. In this case, one of the suggested books in the reference list should help to absorb the material. I have used notations as standard as possible. A collection of important formulae is given at the end of Part I. Many readers should start there and go backwards, if necessary.


Язык: en

Рубрика: Физика/Гравитационное взаимодействие/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1984

Количество страниц: 459

Добавлена в каталог: 02.10.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Pulsars, magnetic fields      353
Pulsars, magnetospheres      357
Pulsars, periods      352
Pulsars, polar cap model      357
Pulsars, radius of light cylinder      357
Pulsars, spindown      352—353
Quadrupol formula for radiation      235
Quadrupol moment of the Sun      177—178
Quadrupol oscillations in gravitational waves      225
Quadrupol tensor      234
Quasars      see also “Supermassive black holes” 388
Quasiparticles      308 317—318
Radau equation      272
Rank of differentiable mapping      14
Rapid Burster      382
Red shift      83 85 97 108
Red shift inconsistency between SR and gravitational      85—86
Red shift, and temperature distribution      307
Red shift, experiment      84
Red shift, gravitational      83—84
Red shift, in a static gravitational field      97—98
Red shift, in Schwarzschild field      22ff
Red shift,from source at static limit      365
Region      44
Reissner — Nordstwm solution      172 207
Related vector fields      23
Relativistic enthalpy      301 390 426
Ricci identity      57
Ricci tensor      60 73
Ricci tensor, linearized      214 217
Riemannian connection      58
Riemannian curvature tensor      54
Riemannian curvature tensor, linearized      223
Riemannian manifold      20
Riemannian metric      19
Roche lobe      376
Rotating black holes      see also “Black holes Kerr 361ff
Rotation of a Copernican system      116
Rotational distortion      273
Scalar curvature      128 136—137 148
Schwarzschild field, test-particle motion curvature forms of      168
Schwarzschild field, test-particle motion geodetic precession in      186ff
Schwarzschild field, test-particle motion in      173ff
Schwarzschild metric, geometric meaning in harmonic coordinates      229
Schwarzschild metric, geometric meaning Killing fields for      174 192—193
Schwarzschild metric, geometric meaning of      171—172
Schwarzschild radius      171
Schwarzschild solution      169 196
Schwarzschild solution, derivation of      166ff
Schwarzschild solution, in Eddington — Finkelstein coordinates      198ff
Schwarzschild solution, in nearly Lorentzian coordinates      170
Schwarzschild solution, in Schwarzschild coordinates      169
Schwarzschild solution, Kruskal continuation of      190ff
Schwarzschild solution, stability of      207
Schwarzschild solution, total energy and momentum of      170—171
Schwarzschild throat      198
Schwarzschild — Kruskal manifold      196
Semirelativistic systems      329
Shear tensor      439
Singularity of coordinate systems      171 190
Singularity theorem      371
Singularity true      197
Sirius B      283
Specific heat of crust      310
Specific heat of normal Fermi liquids      308
Specific heat of superfluid nucleons      310
Spherical accretion onto black holes      see also “Accretion”
Spherical accretion onto black holes adiabatic flow      389
Spherical accretion onto black holes critical point      392
Spherical accretion onto black holes density and temperature profiles      396
Spherical accretion onto black holes justification for hydrodynamical description      399—400
Spherical accretion onto black holes magnetic fields      399
Spherical accretion onto black holes non-adiabatic      400
Spherical accretion onto black holes thermal bremsstrahlung      395 398—399
Spherical accretion onto black holes thermal bremsstrahlung, efficiency      399
Spherical accretion onto black holes thermal bremsstrahlung, spectrum      399
Spherical accretion onto black holes transsonic accretion rate      394
Spherical accretion onto black holes transsonic flow profile      395
Spin precession in a Schwarzschild field      186ff
Spin precession of      111ff
Spin rotation in a stationary field      117
Spin-tensor      432
Stability changes at critical points      291
Stability of accretion disks      419
Stability of macroscopic matter      321ff
Stability of spherically symmetric stars      290—291 338
Stability role of general relativity      337
Star operator      37—38 72
Static gravitational field      97—98 104ff 115ff 172
Static limit      see “Black holes”
Stationary gravitational field      104ff 115ff
Stellar evolution      see also “Evolution of massive stars”
Stellar evolution in binary systems      386
Stellar evolution qualitative picture      281ff
Stellar structure Newtonian compared with general relativistic      298 306—307
Stellar structure relativistic equations      286 289
Stellar structure stability      290
Stellar structure stability, and critical points      291
Stellar structure stability, linear analysis      290 338
Stellar structure thermal energy transport      307
Stellar structure thermal equilibrium      306—307
Stokes' theorem      44
Stress tensor      434
Stress tensor, viscous      434
Structure equations      62f 73
Structure equations, solution of      63
Submanifold      7
Submanifold, open      5
Submanifold, regular      7
Submanifold, totally geodesic      163
Superconductivity in neutron stars      311f
Superfluidity in neutron stars      294 310
Superfluidity in neutron stars, and neutrino processes      318
Superfluidity in neutron stars, effect on specific heat      310
Superfluidity in neutron stars, gap energies (s-,p-waves)      312
Superfluidity in neutron stars, recombination of Cooper pairs      318
Superfluidity in neutron stars, transition temperature      312
Supermassive black holes      202 388 399 409
Supermassive black holes, as quasar model      388
Supernovae and neutron star formation      281 285 306 346
Supernovae association with pulsars      285 306
Supernovae energy released      332
Supernovae formation      see also “Core collapse; Neutrino emission from supernovae; Supernovae”
Supernovae formation core bounce      342 346—347
Supernovae formation damping of shock      345
Supernovae formation energy released      332
Supernovae formation entropy generation during collapse      342 344 348
Supernovae formation neutrino trapping      342—344
Supernovae formation neutronization as trigger      337 341
Supernovae formation numerical studies      344—347
Supernovae formation onset of collapse      280 337 345
Supernovae formation persistence of heavy nuclei      344
Supernovae formation photodissociation as trigger      280 337—338
Supernovae formation physics of collapse      338ff
Supernovae formation production of shock wave      342 344—347
Supernovae formation propagation of shock wave      346—347
Supernovae formation strength of shock      345 347
Supernovae historical      306 330
Supernovae neutronization as trigger      337 341
Supernovae observational facts      330—332
Supernovae photodisintergration as trigger      280 337
Supernovae rate      331
Supernovae type I versus type II      331
Superpotential      159
Synchrotron radiation from Crab nebula      354
Tangent map      10 14
Tangent space      9 10 13—14
Tangent space, algebraic definition      10
Tangent space, canonical isomorphisms      13—14
Tangent space, geometrical definition      14
Tangent space, physicist' definition      13
Tangent vector      14
Tensor fields algebraic operations on      18
Tensor fields components of      18
Tensor fields covariant      20
Tensor fields invariant      24
Tensor fields of class $C^{r}, C^{\infty}$      18
Tensor fields of type (r, s)      18
Tensor fields, tensor product of      18
Tensor fields, traceless transverse (TT)      223
Tensor valued forms      65 73
Test body in a Schwarzschild field      173ff
Test body in a weak gravitational wave      224—225
Test body motion of      90 120—121
Tetrad field      61 147
Tetrad field, orthonormal      147
Tetrad field, transformation of      147
Tetrad field, variation of      148
Tetrad formalism      147ff
Thomas precession      112—113
Tidal distortion      270ff
Tidal forces      12 123 126
Tidal forces, on surface of a collapsing star      204ff
Time delay caused by the solar corona      185
Time delay of radar echoes      182ff
Time-orientable      88
Tolman — Oppenheimer — Volkoff (TOV) equation      288 292 300
Topological manifold      4
Topological manifold, $\sigma$-compact      4
Topological manifold, dimension of      12
Topological manifold, paracompact      4 7
Torsion forms      62
Torsion forms, transformation properties of      66
Torsion of affine connection      54
Torsion tensor      54
Transport theorem      433
Trapped surface      371
Trapped surface, formation      371
Trapped surface, stability of phenomenon      371
Uhuru x-ray satellite      373—374
Universality of gravitational interaction      82
Urea reactions      see “Neutrino emission from neutron stars”
Variation of the metric      137—138
Variation of the tetrad fields      148
Variation of the vector potentials      143
Variation of the volume form      141
Variational principle for light rays      99—100
Variational principle for matter fields      140—141
Variational principle for matter fields, Euler — Lagrange equations      141
Variational principle for the coupled system      145
Variational principle for vacuum field equations      136
Vector fields      15
Vector fields of class $C^{r}, C^{\infty}$      16
Vector fields, algebraic operations of      16
Vector fields, as derivations      16
Vector fields, commutator of      17
Vector fields, complete      22
Vector fields, components of      15
Vector fields, derivation associated to      16
Vector fields, derivative with respect to      16
Vector fields, divergence of      45
Vector fields, flow of      21
Vector fields, integral curves of      21
Vector fields, Lie algebra of      17 71
Vector fields, Lie bracket of      17 24 71
Vector fields, related      23
Vela pulsar      281
Vierbein      see “Tetrad field”
Virial theorem      281
viscosity      389 410 416—417
Viscosity, and associated measure      136
Viscosity, and orientation      36
Viscosity, bulk      434
Viscosity, corresponding to metric      37
Viscosity, for standard disks      416
Viscosity, kinematic      420
Viscosity, radiative      416
Viscosity, shear      434
Volume element      36—37 45 72
Volume expansion      439
Vorticity tensor      439
Weak gravitational field      96—97 133 214ff
White dwarfs      284 330—332
X-ray binaries      see also “Accretion; Cygnus X-1; X-ray bursters; X-ray binary pulsars”
X-ray binaries discovery      374
X-ray binaries disk and wind accretion      378
X-ray binaries optical companions      377 379
X-ray binaries origin and evolution      386
X-ray binary pulsars      see also “Accretion; X-ray binaries” 377—379
X-ray binary pulsars, discovery      374
X-ray binary pulsars, magnetic fields      348 377
X-ray binary pulsars, mass flow rates      378
X-ray binary pulsars, masses      379
X-ray binary pulsars, size of magnetosphere      377
X-ray binary pulsars, size of radiating polar cap      377
X-ray binary pulsars, temperature ofhot spots      377
X-ray binary pulsars, x-ray luminosities      377
X-ray bursters      see also “Accretion; X-ray binaries” 379ff
X-ray bursters discovery      374
X-ray bursters, evidence for disk accretion      380—381
X-ray bursters, general properties      380
X-ray bursters, location in old stellar populations      380
X-ray bursters, optical companion      374
X-ray bursters, optical echo      381
X-ray bursters, radii      381
X-ray bursters, rapid burster      382
X-ray bursters, thermonuclear flash model      380—381
Zeroth law of gravitation      127
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