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Fock V. — The Theory of Space Time and Gravitation
Fock V. — The Theory of Space Time and Gravitation

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Название: The Theory of Space Time and Gravitation

Автор: Fock V.

Язык: en

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1959

Количество страниц: 411

Добавлена в каталог: 21.05.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Aberration      43—44
Accelerated reference frame      106 369
Accelerated reference frame (uniformly)      209
Acceleration relative to space      369
Active part of energy      100
Advantage of privileged coordinate-system      351 375
Alexandrov      10
Antisymmetric tensor, dual of      56
Asymptotic form of $\mathfrak{g}^{\mu\nu}$      316—317 326
Axial vector      48
bernoulli      101
Boundary conditions (restricting equivalence)      208 210
Bradley      43
Cartan      xvii
Cauchy problem (not gravitational)      349—350
Characteristics, Einstein's equations      173—175
Characteristics, electromagnetic equations      3 5
Characteristics, generalized wave equation      394
Christoffel symbols,      119
Christoffel symbols, approximate      226
Christoffel symbols, transformation of      134
Clock, paradox      211—12 214
Clock, readings in different inertial frames      31
clock, synchronization      22—24
Closed circuit (parallel transport round)      139
Conditions for over-all Minkowski metric      136
Conformally-Galilean coordinates      335—336
Conservation laws, of energy      89
Conservation laws, of energy, integral form in general coordinate-system      163
Conservation laws, of mass      101
Conservation laws, point systems      74—77
Conservation laws, point systems, connection with integrals of mechanics      337
Conservation laws, point systems, conventional formulation criticized      79—81
Conservation laws, point systems, gravitational      326—331
Conservative systems      89
Conservative systems, tensor      145
Constant of gravitation      167
Constant of gravitation, determination of      179
Continuous media      81—84
Contraction of tensor      114
Contravariant vector      50
Contravariant vector, in general coordinate system      110
Convection coefficient, Fresnel's      43
Coordinate conditions, general discussion      351
coordinates      1
Coordinates, conformally Galilean      355—356
Coordinates, locally geodesic      134
Coordinates, preferred      xvi
Coriolis forces      208
Cosmic time      367
Cosmological problems      367
Cosmological time-scale      367
Covariance of equations      xvi 368 370
Covariance of Maxwell's equations      58 63
Covariance of Maxwell's equations in general      150
Covariant differentiation      127—128
Covariant differentiation, change of order in      140
Covariant differentiation, examples      130
Covariant differentiation, product rule in      129
Covariant vector      50
Covariant vector, in general coordinate system      110
Criticism of conventional formulation of conservation laws      79—81
Curvature tensor (transformation of)      385
Cyclic derivative      134
d'Alembertian      54
d'Alembertian, in general coordinate-system      131
De Bonder      385
Definition of straight line      203
Deflection of light      200—203
Dependence of integrals on uniformity of space-time      326
Derivation of Lorentz transformation, notes on      377
Derivative, cyclic      134
Determination of constant of gravitation      179
Differentiation, covariant      127—128
Dispersal of galaxies      367
Distance, measurement of      22—24
Divergence, of four-vector      131
Divergence, of mass-tensor      221 236
Doppler effect      29
Double star      294
Dual of antisymmetric tensor      56
Dust (mass tensor)      90
Einstein      xiv xvi xvii 2 9 17 28 367 372
Einstein and Grommer      371
Einstein's "lift"      207
Einstein's "lift",criticism of      207—208
Einstein's elastic body, internal structure      253
Einstein's equations      171—173
Einstein's equations, characteristics of      173—5
Einstein's equations, modified in cosmology?      367
Einstein's equations, ten integrals of      326
Einstein's mass, tensor for      224
Einstein, tensor      145 229
Einstein, velocity formula      39
Electromagnetic equations      3
Electromagnetic equations, characteristics of      3 5
Electromagnetic equations, covariance of general      150
Electromagnetic equations, covariance of rectangular      58—63
Electromagnetic equations, field, energy tensor      95
Electromagnetic equations, field, in general coordinate-system      151
Electromagnetic equations, field, motion of charge in      64
Electromagnetic equations, field, transformation of      58—63
Energy, active part of      100
Energy, balance, role of gravitational waves in      336—337
Energy, conservation of      89
Energy, passive part of      101
Energy, tensor of electromagnetic field      95
Energy, tensor of electromagnetic field, in general coordinate-system      151
Eotvos      99
Equations, covariance of      368 370
Equations, of motion, integrals of      74
Equations, of motion, integrals of, general coordinate system      163
Equations, of motion, integrals of, Lagrangian form of      273
Equations, of motion, integrals of, of mass point      215—218
Equations, of motion, integrals of, of system of masses      239—244
Equivalence, of acceleration and gravitation      206—208
Equivalence, of acceleration and gravitation, restricted by boundary conditions      208 210
Equivalence, of mass and energy      99
Equivalence, principle of      206 369
Equivalence, purely local      369—370
Euclidean character of three dimensional space, conditions for      401
Euler      101
Eulerian angles      251
External problem in systems of bodies      244
Fermi      207
Fichtenholz      274 373
Fizeau      43
Fokker      xvii 10
Force, Coriolis      208
Force, Coriolis, in motion of system      268
Force, Coriolis, Lorentz      66
Formulation of conservation laws      327
Frame, accelerated      106
Fresnel's convection coefficient      43
Friedmann      xv 353 367
Friedmann — Lobachevsky space      xv 352
Galaxies, dispersal of      367
Galileo      xiv 11
Galileo's law      167
Gauge transformation      69
Generalized wave equation, characteristics of      394
Geodesic      117
Geodesic coordinate system      134
Geodesic equations      119
Geodesic Hamilton — Jacobi equation for      6
Geodesic nul      120
Gravitation, constant of      167 179
Gravitational energy      326
Gravitational energy, pseudo-tensor of      326 331—4
Gravitational equations      171—173
Gravitational equations, for system of moving masses      231—236
Gravitational equations, solution of      179
Gravitational equations, static case      184
Gravitational field, variational principle for      203—5 206
Gravitational mass      167 206
Gravitational potentials, in wave zone      319—326
Gravitational potentials, large distance, mixed and temporal      311—17
Gravitational potentials, large distance, spatial      307—11
Gravitational potentials, non-rotating bodies, mixed and temporal      301—7
Gravitational potentials, non-rotating bodies, spatial      295—301
Gravitational potentional      167
Gravitational red-shift (Newtonian approximation)      171
Gravitational theory criticized      367
Gravitational waves      334—336
Gravitational waves, role in energy balance      336—337
Grommer      371—372
Hamilton      6
Hamilton — Jacobi equation, light      6
Hamilton — Jacobi equation, light, of geodesic      121 122
Harmonic coordinates      xv 132 175 203 210 239 284 292 301 306 321 328 346 373 375—376
Harmonic coordinates and insular mass distributions      176 351
Harmonic coordinates, uniqueness of      346 350
Heliocentric frame      7
Hodograph space      39
Hoffmann      372
Homogeneous wave equation, uniqueness theorem      342—344
Huygens      101
Hydrodynamics of perfect fluid      91
Hydrodynamics of perfect fluid in general coordinate-system      152
Inertia tensor      248
Inertial, frames      7 8
Inertial, frames, clock readings in different      31
Inertial, frames, lengths in different      35—36
Inertial, frames, transformation between      10 12—18
Inertial, mass      167 206
Infeld      372
Infinitesimal Lorentz transformation      56
Inhomogeneons wave equation, uniqueness, theorem for      345
Insular mass distribution and harmonic coordinate-system      176 351
Integral form of conservation laws      163
Integral form of equations of motion, transformation of      260
Integrals, characterizing internal Integrals, structure      257
Integrals, of Einstein's equations      326
Integrals, of equations of motion      74
Integrals, of equations of motion in general coordinate-system      163
Integrals, of equations of motion of non-rotating bodies      283
Integrals, of equations of motion of systems of masses      277
Integrals, of motion, tensor character      77—79
Integration of wave-front equation      397
Interactions, triple      271 276
Internal problem in motion of systems of bodies      244
Internal structure of elastic body      253
Interval, Newtonian approximation      168
Interval, space-like      25
Interval, time-like      25
Jeans      219
Jupiter's satellites      31
Kagan      39
Kashkarov      250 373
Kirchoff      342
Krutkov's tensor      87 143 328
Lagrangian form of equations of motion      273
Lanczos      385
Landau      331 363
Large distances, gravitational potentials      307—317
Lavoisier      101
Lebedev      98
Length, standard of      2
Lengths in different inertial frames      35—36
Lenin      xviii
Levi-Civita      124 187
Liapunov      219 256
Liapunov, equations      253
Lifshitz      331 363
Lift experiment, criticism of      207—208
Lift experiment, Einstein's      207
Light, deflection of      200—3
Light, Hamilton — Jacobi equation for      6
Light, ray      2 5
Light, wave      3
Linearity of transformation between inertial frames      12—16
Lobachevsky      xv
Lobachevsky — Einstein velocity-space      39—42
Lobachevsky — Friedmann space      352
Local description      xv
Local equivalence of acceleration and gravitation      206—208
Local equivalence of acceleration and gravitation, restricted by boundary conditions      208 210
Locally geodesic coordinate-system      134
Lomonosov      101
Lorentz      xiv 61 95
Lorentz force on moving charge      66
Lorentz group      xiii
Lorentz transformation      16—18 368
Lorentz transformation, notes on derivation      377
Lorentz transformation, proper      21
Mach      xvi
Mach's paradox      369
Mandelstam      8
Mass, centre, motion of      283
Mass, conservation      101
Mass, distribution, insular      176 351
Mass, distribution, uniform      176 352
Mass, gravitional      167 206
Mass, inertial      167 206
Mass-energy equivalence      99
Mass-point, equations of motion of      215—218
Mass-tensor,      85—89
Mass-tensor, divergence of      221 236
Mass-tensor, examples of      90
Mass-tensor, for elastic solid      224
Mass-tensor, in general coordinate-system      152
Maximum propagation speed      9 10
Maxwell      3
Maxwell's equations, characteristics of      3 5
Maxwell's equations, covariance of      58—63
Maxwell's equations, in general coordinate-system      150
Maxwell's equations, variational principle for      153—158
Mayer      101
Measurement of distance      22—24
Measuring rod, rigid      94
Meister      373
Minkowski      50
Minkowski metric, condition for      136
Misunderstanding of relativity      xvii
Mixed gravitational potentials, large distances      307—11
Mixed gravitational potentials, non-rotating bodies      306—7
Mobius transformation      383
Moller      209
Motion, of charge      64
Motion, of mass point      215—218
Motion, of system of charges      66—73
Motion, of system of masses      218
Motion, of system of masses, Christoffel symbols for      226
Moving, charge, Lorentz force on      66
Moving, masses, equations of motion      239—244
Moving, masses, gravitational equations      231—236
Newton's equations, rotational motion      249—253
Newton's equations, translational motion      244—249
Non-Euclidean geometry      108
Non-rotating masses, gravitational potentials      295—307
Non-rotating masses, integrals of equations of motion      283
Nul geodesic      120
Order, change of in covariant differentiation      140
Orthogonal transformation      48
Outward radiation condition      179 372
Over-all Minkowski metric, condition for      136
Pair-creation      99
Papapetrou      372—373
Paradox, clock      211—213 214
Parallel transport, general      125
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