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Synge J.L. — Relativity: The general theory
Synge J.L. — Relativity: The general theory



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Название: Relativity: The general theory

Автор: Synge J.L.

Аннотация:

General relativity, or the general theory of relativity, is the geometric theory of gravitation published by Albert Einstein in 1916[1] and the current description of gravitation in modern physics. General relativity generalises special relativity and Newton's law of universal gravitation, providing a unified description of gravity as a geometric property of space and time, or spacetime. In particular, the curvature of spacetime is directly related to the energy and momentum of whatever matter and radiation are present. The relation is specified by the Einstein field equations, a system of partial differential equations.


Язык: en

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1960

Количество страниц: 519

Добавлена в каталог: 27.03.2013

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Aberration      393ff
Aberration, constant of      394
Aberration, curve of no      398
Aberration, tensor      395 419
Absolute acceleration      176 178 195 197
Absolute acceleration, derivative      4 12 417 418 420
Absolute acceleration, physical meaning of      156
Absolute acceleration, time      105
Acceleration in continuum      176 177 195 197
Acceleration of astronomical observer      398
Acceleration of gravity      132 138 150 177 398 418 424 426
Acceleration, absolute      176 178 195 197
Acceleration, locus of no      196ff
Adiabatic equilibrium      169 176
Admissible coordinates      1 36 39 40 107 187 267 317 344
Advance of perihelion      293ff
Advanced potential      193 200ff
Age of universe      329 426
Agonistic spirit      185 189 290
Alexandrow, W.      276
Angle, azimuthal      267 420
Angle, measurement of      118
Angle, phase      372 420
Angle, polar      267 420
Angstrom unit      425
Angular momentum of body      248 250
Angular momentum, conservation of      229 232ff 237ff 253ff
Angular momentum, density of      242
Angular momentum, dual of      242
Angular momentum, flux of      238 241 418
Angular momentum, gravitational      241
Angular momentum, mechanical      241
Angular momentum, Newtonian      229
Angular momentum, total      238 241
Angular velocity      117 140 407
Angular velocity of earth      138ff 420 425 spin)
Anisotropic transparent medium      376
Antipodal space      260 263
Apple falling      132ff 144 284
Approximation, linear      192 194 202ff 211 221 309
Approximation, successive      191
Araki, H.      217
Area, element of      44 419
Areal velocity      294
Artificial satellite      132 142
Astronomy, distance in      327
Astronomy, Newtonian      294 390
Astronomy, observation in      118 289 330 390ff
Atmosphere      205 426
Atomic clock      106 421 425
Attractions of earth, moon, sun      205 426
Axial symmetry      309ff 352
Azimuthal angle      267 420
Bach, R.      310
Balazs, N. L.      X 384
Ballistic suicide      14
bar      205 426
Base event      237 242
Base vector      76 82
Bass, L.      X
Bending of light ray      297
Bergmann, P. G.      IX 192 252 301 310
Bertotti, B.      X
Bianchi identity      17 57
Bibliography      427
Bicharacteristic      227 361
Birds on lampposts      152
Birkhoff, G. D.      276 289 296
Birkhoff’s theorem      276 278 352
Body, charged      367ff
Body, mass of      209 282
Body, motion of      194ff 246ff
Body, rigid      188 401
Body, rotating      147ff 196ff 309
Body, small      250 290
Bondi, H.      184 314 322 329 344
Bonnor, W. B.      X 192 202 352 353 368
Born, M.      114 173
Bouncing photon      123ff
Boundary of star      278 281
Bridgman, P. W.      105
Brill, D. R.      217
Brillouin, L.      378
Cadmium red line      106 107 138 425
Canonical equations      27
Capital suffixes      261 332 345
Cauchy data      125 215 221 360
Cauchy data for incoherent charged fluid      360ff
Cauchy data for perfect fluid      218ff
Cauchy data, problem      191 211 213ff
Causality      265 377
Celestial sphere      393 397
Cell, oriented      42
Cell, tensor extension of      42 420
Centi      422
Centimetre and second      138 423 425
Centre of mass      (see Mass-centre)
Cerenkov radiation      380
Characteristic      223ff 361 362
Characteristic, curve      224 225 375
Characteristic, function      28 47 419
Charge of electron      425
Charge, electric      355 359 366 367 370 419
Charged body      367ff
Charged body, fluid      355ff 360ff
Chazy, J.      205 310
Christoffel symbols      3 420
Christoffel symbols and change of signature      417
Christoffel symbols in spherical symmetry      271
Chronometry      103ff 105ff 112ff
Chronometry, differential      401ff
Circle, timelike      12
Circular orbit      293
Circulation      28 420
Clark, G. L.      192 309
Clemence, G. M.      296
Clock paradox      142
Clock, atomic or standard      105ff 421
Closed geodesic      260ff
Closed geodesic, space      41ff 190 230 283 340 364ff 370 43ff 229ff
Cloud of dust      175 180ff 195 219
Coherent system (Hamiltonian)      29 33 378
Coincidence limits      5
Collisions      160 165
Comma notation      3 417
Commutation rules      16
Components, invariant      10 419
Components, invariant of electromagnetic tensor      355 365
Conditions of consistency (Cauchy problem)      215ff 220ff
Conditions of integrability      173
Conditions, coordinate      187 191 418
Conditions, junction      39ff 186 187 194 208 274 278 281 286
Cone, null      21 33 109 160 201 244 330 375
Conformally flat space-time      319ff 322ff
Conformally, related space-times      317ff
Conformastat metric      341 342 369
Congruence of stream-lines      169ff
Congruence, normal      173 196
Conjugate metric tensor      3 418
Conjugate metric tensor, points on geodesic      48 58 62 81 223
Conjugate metric tensor, tensor      211
Conservation of angular momentum      232ff 237ff 253ff
Conservation of charge      359 367
Consistency conditions (Cauchy problem)      215ff 220ff
Consistency conditions (Cauchy problem), hypothesis of      106
Constant of aberration      394
Constant of aberration, cosmological      180 214 256 257 274 276 278 321 330 331 338 420
Constant of aberration, curvature      17 80 256ff 281
Constant of aberration, gravitational      181 183 184 298 419 423 424 426
Constant of aberration, Hubble’s      328
Constant of aberration, Planck’s      122 372 418 425
Content, element of      160 201
Continuum, energy tensor of      173ff
Continuum, equations of motion of      178
Continuum, kinematics of      169ff
Continuum, material      159ff
Continuum, mechanics of      169ff 173ff
Continuum, spectral shift in      41ff
Controlled observation      103
Conversion formulae (g, cm, sec)      138 184 329 423 425
Coordinate conditions      187 191 418
Coordinate conditions, cyclic      309
Coordinate conditions, ignorable      291
Coordinate conditions, time      105 283 288 290 419
coordinates      1 419
Coordinates on sphere      76 344
Coordinates, admissible      1 36 39 40 107 267 317 344
Coordinates, curvature      268 270 272 274 276 290 419
Coordinates, dimensions of      179
Coordinates, Fermi      84ff 87ff 91ff
Coordinates, Gaussian, normal and skew      35ff 39 187 213ff 218ff 360 419
Coordinates, imaginary      417
Coordinates, isothermal      269ff 305 310 311
Coordinates, isotropic      269ff 342
Coordinates, normal      77
Coordinates, null      187 269 270
Coordinates, optical      86 87ff 91ff 418 419
Coordinates, overlapping      1 48 76 81 344
Coordinates, polar      266ff 270ff 276 288 420
Coordinates, quasi — Cartesian      76ff 81ff 347ff 419
Coordinates, transformation of      2 48 81 348ff
Corinaldesi, E.      252
Cosmological constant      180 214 256 257 274 276 278 321 330 331 338 420
Cosmological, red-shift      322ff
Cosmological, theory      329 330
Covariant derivative      3 417
Covariant derivative of parallel propagator      64ff
Covariant derivative of world-function      48ff 57ff 67ff 95ff 303 304 420
Creative spirit      185 189 222
Crest of wave      106 372 3
Current      356
Current laws in statistical model      165ff
Current laws of mass      219 359
Current laws of momentum      229
Current laws, integral      229ff 232ff 237ff 246ff 253ff
Current momentum      165 157 232ff 237ff 253ff
Current of energy      229
Current, electric      355ff 364ff
Current, equation (differential)      18 167 174 191 213 356
Curvature invariant      17 39 419
Curvature invariant and change of signature      417
Curvature invariant for conformally related space-times      s318
Curvature invariant for Gaussian coordinates      38
Curvature invariant in Cauchy problem      215 220
Curvature invariant in electromagnetic field      363
Curvature invariant in Godel-type space-time      334
Curvature invariant in statical space-time      207
Curvature of stream-line      176 178 195 197
Curvature of terrestrial world-line      132 136 138ff 143 147 149 177 396 414
Curvature, constant      17 80 256ff 281
Curvature, coordinates      268 270 272 274 276 290 419
Curvature, detector (five-point)      408ff
Curvature, first      12 126 136 142 145 155 197 284 396 401 417 420
Curvature, Gaussian      268 290
Curvature, measurement of      401 408
Curvature, radius of      138 424 425 426
Curvature, Riemannian      17 75 126 149 412 418 424 425
Curvature, second      12 131 136ff 146ff 401 418
Curvature, small      24 58 70 74 76 79 83 87 89 93 189 209 240 301 394 403
Curvature, tensor      (see Riemann tensor)
Curvature, third      12 136ff 146ff 401 418
Curvature, vector      396 420
Curve of no aberration      398
Curve, measure of      3 108 418
Curve, normals and curvatures of      12 417 418 first second third)
Curve, spacelike      15
Curve, world-function for two points on      95ff
Curzon, H. E. J.      314
Cut-off of gravitational field      25 395
Cyclic coordinate      309
Cyclic coordinate, permutation      364
Cylindrical gravitational wave      218 352
Darmois, G.      310
Das, A. X,      XI 142 296 309 368
De Sitter see Sitter, W. de deci      422
Deflection of light      297
Deformation of continuum      171
Degree centigrade      425
Deka      422
Delta, Kronecker      3 19 356 420
Densities, Newtonian and relativistic      183 208
Density and pressure      188 219 286
Density in expanding universe      329
Density of angular momentum      242
Density of angular momentum, dimensions of      180
Density of energy      164 177
Density of mass      174 180 355 420
Density of sun      210 223
density of water      425 426
Density, electric      355 420
Density, positive and negative      186 189 196 213 216 223 319 331 336 337
Density, proper      174 355 420
Density, tensor      247 357
Derivative of parallel propagator      64ff
Derivative of world-function      48ff 51ff 57ff 67ff 95ff 303 304 420
Derivative, absolute      4 12 156 417 418 420
Derivative, covariant and partial      3 417 420
Deviation from flatness      76 87 418 420
Deviation of falling body      138
Deviation of geodesics      19ff 60ff 258 391
Deviation, vector      20
Differential chronometry      401ff
Differentiation, absolute and covariant      (see Derivative)
dimensions      177 179 180 184 250 421
Dingle, H.      270
Direction cosines      127 396 418 420
Direction cosines, measurement of      118
Discontinuity      2 39 186 187 194 208 225ff 274 278 281 286 344
Discontinuity, essential      227 (see also Junction conditions shock
Dispersive medium      375ff 385 388
Distance      108
Distance, astronomical      327
Distance, Fermi      403
Distance, function      47
Distance, luminosity      327
Distance, optical      409
Distance, pseudo      323
Distance, spatial      3 108 113 290 327 420
Distribution function      162 420
Distribution function, moments of      163 419
Doppler effect      121ff 298 301 307 308
Dual of angular momentum      242
Dual of electromagnetic tensor      356 366 418
Dual of Killing tensor      236
Dual of skew-symmetric tensor      363
Dual of vector      46
Dual, double      18 19 239 240 419
Duffin, R. J.      422
Dust cloud      175 180ff 195 219
Dust cloud, charged      355
Dynamical mean velocity      168 169 176
Dynamics of continuum      169ff 173ff
Dynamics of particle      (see Collisions Geodesic Ponderomotive
d’Alembertian operator      200 236 357
Earth, angular velocity of      138ff 420 425
Earth, attraction of      205 426
Earth, mass of      184 425 426
Earth, orbit and velocity of      421 425 426
Earth, pressure in      177
Earth, radius of      425 426 Riemann observer)
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