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Stephani H. — Relativity: an introduction to special and general relativity
Stephani H. — Relativity: an introduction to special and general relativity



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Название: Relativity: an introduction to special and general relativity

Автор: Stephani H.

Аннотация:

Thoroughly revised and updated, this textbook provides a pedagogical introduction to relativity. It is self-contained, but the reader is expected to have a basic knowledge of theoretical mechanics and electrodynamics. It covers the most important features of both special and general relativity, as well as touching on more difficult topics, such as the field of charged pole-dipole particles, the Petrov classification, groups of motions, gravitational lenses, exact solutions and the structure of infinity. The necessary mathematical tools (tensor calculus, Riemannian geometry) are provided, most of the derivations are given in full, and exercises are included where appropriate. Written as a textbook for undergraduate and introductory graduate courses, it will also be of use to researchers working in the field. The bibliography gives the original papers and directs the reader to useful monographs and review papers.


Язык: en

Рубрика: Физика/Гравитационное взаимодействие/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 3rd edition

Год издания: 2004

Количество страниц: 396

Добавлена в каталог: 02.10.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$\delta$-functions      80
$\lambda$      174
$\varepsilon$-tensor      42 44 119
ðp-waves      244
Abelian group      286
Aberration      36
Acceleration parameter      356 371 372
Actio = reactio      30
Affine parameter      107
Angular momentum, for static fields      230
Angular momentum, of a source      224
Antisymmetric tensors      44
Approximation schemes      226
Asymptotically flat fields      346
Axisymmetric static vacuum solutions      295
Axisymmetric stationary vacuum solutions      296
Bach brackets      45
Balance equations      168
Balance equations for momentum and angular momentum      234
Beginning of the universe      373 368 369
Bianchi identities      143
Bianchi type I universe      381
Bianchi types of a group $G_{3}$      287
Birkhoff theorem      188
Bivectors, self-dual      65
Black holes      307 327 336
Black holes and thermodynamics      340
Bogoliubov transformation      335
Boyer — Lindquist coordinates      322
Canonical equations for charged point particles      72
Cauchy problem      249 253
Causality      21
Centre of mass      32
Chandrasekhar limit      311
Characteristic initial value problem      255
Chazy — Curson particle      299
Christoffel symbols      97 107
Christoffel symbols for a spherically symmetric metric      186
Christoffel symbols, transformation law      110
Cigar singularity      383
Closed systems      2 4 5
Closed universes      298 360
Closed universes and Maxwell's equations      361
Closed universes and thermodynamics      363
Codazzi equation      253
Collapsing star      315
Collision of particles      31
Commutators      285
Compton scattering      34
Conduction current      86
Conformal curvature tensor      142
Conformal structure of a Friedmann dust universe      349
Conformal structure of Euclidian $E_{3}$      343
Conformal structure of infinity      341
Conformal structure of Minkowski space      344
Conformal structure of the Schwarzschild solution      347
Conservation laws      154 291
Conservation laws and Killing vectors      288
Constraints      254
Contravariant components      42 117
Convection current      86
Coordinate transformations      109
Coordinates, canonical      140
Coordinates, comoving      111 262
Coordinates, Gaussian      111
Coordinates, locally fiat      113
Coordinates, locally geodesic      113
Coordinates, orthogonal      96 111
Coordinates, time-orthogonal      111
Coordinates, Weyl      295
Coriolis force      159
Cosmic background radiation      375
Cosmological constant      174
Cosmological models      380
Cosmological principle      352
Covariant components      42 117
Covariant derivative      127
Critical mass      314
Critical mass density      372
Critical mass of a star      311
Current four-vector      51
Curvature scalar      142
Curvature tensor      102 136
Curvature tensor and global parallelism      137
Curvature tensor and Killing vectors      281
Curvature tensor and second derivatives of the metric      139
Curvature tensor of a plane wave      242
Curvature tensor, reduction formulae      252
Curvature tensor, symmetries of      141
Curvature, extrinsic and intrinsic      251
Cylindrically symmetric solutions      297
de Sitter universes      148 365
Decay of particles      31
Deflection of light      194
Degenerate vacuum solutions      293
Differential operators      149
Doppler effect      35
Dragging of light      41
Duality rotation      58
Dualization of an antisymmetric tensor      48 121
Dust      90 176
Eddington — Finkelstein metric      305 321
Eigenvectors of      47
Eigenvectors of $\eta_{ab}$      46
Eigenvectors of antisymmetric tensors      47
Eigenvectors of Lorentz transformations      14
Eigenvectors of symmetric tensors      46
Eikonal      165
Einstein field equations      173
Einstein Ring      206 208
Einstein tensor      174
Einstein Universe      365
Einstein — Rosen waves      298
End of the universe      359
Energy balance for a particle in Special Relativity      27
Energy of the gravitational field      237 292
Energy-momentum Four-vector      28
Energy-momentum pseudotensor      230
Energy-momentum pseudotensor and balance equations      234
Energy-momentum pseudotensor of a plane wave      243
Energy-momentum tensor and thermodynamics      169
Energy-momentum tensor and variational principle      184
Energy-momentum tensor of a pure radiation field      68
Energy-momentum tensor of dust      90 170
Energy-momentum tensor of incoherent radiation      171
Energy-momentum tensor of perfect fluids      90 170
Energy-momentum tensor of the Maxwell field      55 87 163
entropy      169
Equations of motion and geodesic equation      99
Equations of motion for a spinning particle      180
Equations of motion for perfect fluids      171
Equations of motion in a Riemannian space      158
Equations of motion in Classical Mechanics      1 2 95
Equations of motion in Special Relativity      26
Equations of motion of test particles      178
Equations of motion with self-force      77
Equations of motion, charged point particles      69 72
Ergosphere of the Kerr solution      324
Euler's equation      89
Event horizon      325 360 370
Event horizon, surface area      328
Exact solutions      293
Expansion of a timelike vector field      265
Expansion of light rays      271
Extrinsic curvature      250
Far fields in the general case      227
Far fields, linearized theory      221
Far fields, time-independent case      230
Fermat principle      197
Fermi — Walker transport      132 161
Field equations      173
Field equations, linearized      219
Field equations, Newtonian limit      176
Field tensor of the Maxwell field      53
Fizeau experiment      41
Four-acceleration      25
Four-potential      52
Four-vectors      15 42
Four-vectors, normal forms      16
Four-velocity      25 158
Frequency shift in a gravitational field      354
Friedmann equation      364
Friedmann universes      367 383
Galilei transformations      5
Galilei's principle of relativity      5
Gauss equation      252
Gauss law      154
Gaussian coordinates      111
Gaussian curvature      144
Geodesic deviation      100
Geodesic equation      98
Geodesic null congruences      268
Geodesic precession      204
Geometrical objects      118
Geometrical optics      165
Goedel universe      384
Goldberg — Sachs theorem      277
Gowdy universes      298
Gravitational collapse      310 325
Gravitational collapse of spherically symmetric dust      315
Gravitational constant      174
Gravitational lensing      205
Gravitational radius      190
Gravitational waves      238
Gravitational waves in the linearized theory      240
Gravitational waves, exact plane      243
Gravitational waves, experimental evidence      248
Green's function of the wave equation      83
Groups of motion      283
Harmonic coordinates      219
Hawking effect      340
Homogeneity of space      2
Homogeneity of time      2 5
Hubble parameter      356 371 372
Hyperbolic motion      28
Incoherent matter      90
Incoherent radiation fields      171
Inertial system      1
Inflationary universe      374
Initial value problem      253
Initial value problem, characteristic      255
Integral laws      153
Integrals      150
Interior Schwarzschild solution      209 211
Intrinsic angular-momentum vector      181
Intrinsic curvature      251
Invariance, under Galilei transformations      4
Invariance, under rotations      3
Invariance, under translations      2
Invariants of a symmetric tensor      47
Invariants of an antisymmetric tensor      48
Invariants of the Maxwell field      165
Jacobi — Lie identity      285
Kasner metric      384
Kerr solution in Boyer — Lindquist coordinates      322
Kerr solution in Kerr coordinates      323
Kerr solution in Weyl coordinates      297
Killing tensors      289
Killing vectors      278
Killing vectors and conservation laws      288
Killing vectors and curvature tensor      281
Killing vectors of a sphere      281
Killing vectors of Minkowski space      280
Kruskal diagram of a collapsing star      320
Kruskal diagram of the Schwarzschild solution      306
Lemaitre metric      304
Length contraction      19
Lense — Thirring effect      225
Lie derivative      133
Lie groups      283
Lienard — Wiechert potentials      74
Light cone      16
Light deflection by the Sun      202
Light rays in the Schwarzschild metric      194
Light travel time      197 203
Limiting surface of stationarity      324
Line element, spherically symmetric      186
Linearized field equations      219
Linearized field equations and Maxwell equations      220
Linearized theory      217
Linearized theory, far fields      221
Local Minkowski system      112
Locally geodesic system      113
Lorentz force      51 55 56
Lorentz transformations      8 41
Lorentz transformations and null vectors      64
Lorentz transformations and pseudorotations      9
Lorentz transformations with arbitrarily directed velocity      12
Lorentz transformations, eigenvectors      14
Lorentz transformations, group property      10
Lorentz transformations, normal form      11
Lorentz transformations, orthochroneous      11
Lorentz transformations, proper      11
Lorentz — Abraham — Dirac equation      78
Lorentzian metric      106
Luminosity distance      356
Mass function      210
Mass, inertial and gravitational      104
Mass, velocity-dependence      26
Matching conditions for the gravitational field      257
Matching conditions for the interior Schwarzschild solution      212
Matching conditions for the Maxwell field      87
Maxwell equations and linear Einstein equations      220
Maxwell equations in a Riemannian space      162
Maxwell equations in closed universes      361
Maxwell equations in media      84
Maxwell equations in vacuo      50 52
Maxwell equations, conformal invariance      164
Maxwell fields and Lorentz transformations      61
Maxwell fields, algebraic classification      66
Maxwell fields, invariants of      165
Maxwell fields, non-degenerate      66
Maxwell fields, null      67 165
Maxwell fields, null eigenvectors of      67
McVittie solution      299
Mechanics in General Relativity      158
Mechanics in Special Relativity      24
Metric tensor      96 106
Michelson experiment      7
Minkowski coordinates      15
Minkowski space      14
Minkowski space, Killing vectors of      280
Monopole particle      80 178
Neutron star      311
Newman — Penrose tetrads      63 124
Newtonian limit      170
Normal-hyperbolic Riemannian space      112
Null fields, electromagnetic      67 165
Null geodesics      107 166
Null rotations      64
Null tetrads      63 124
Null vectors      16 63 268
Null vectors and Lorentz transformations      64
Null vectors, covariantly constant      244
Observables      291
Ohm's law      86
Optical scalars      269
Orthogonal transformations      3
Pancake singularity      384
Parallel displacement and covariant derivative      130
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