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| Synge J.L. — Relativity: The general theory |
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| Предметный указатель |
Eddington, A. S. IX
Eigentensor of Riemann tensor 237
Eigenvalues and eigenvectors of energy (or Einstein) tensor 168 169 174 185 186 189 193 194 208 233 256 279 331 334ff 357
Einstein equation (E = me) 2 174
Einstein field 200ff 205ff
Einstein tensor 17ff 418
Einstein tensor and change of signature 417
Einstein tensor and conservation laws 232ff
Einstein tensor and field equations 179
Einstein tensor at discontinuity 39ff
Einstein tensor for conformal metrics 319 320
Einstein tensor for conformastat metric 342
Einstein tensor for Gaussian coordinates 38
Einstein tensor for Godel-type universe 334
Einstein tensor for spherical symmetry 272
Einstein tensor for statical universe 208 339
Einstein tensor, eigenvalues and eigenvectors of 186 189 193 194 208 233 256 279 331 334ff 357
Einstein, A. VII VIII X 105 179 180 192 204 252 295 298 300 321 330 352 354 415
Einstein-de Sitter universe 321 327 330
Eisenhart, L. P. 235
Electric charge 355 359 366 367 370 419
Electric charge, current 355ff 364ff
Electric charge, density 355 420
Electric charge, vector 355 366
Electro vac universe 367ff
Electromagnetic energy tensor 357ff 418
Electromagnetic theorems, integral 363ff
Electromagnetic, equations of motion 358
Electromagnetic, field 354ff
Electromagnetic, shock wave 361 362
Electromagnetic, tensor 355ff 364ff 418
Electromagnetism 354ff
Electron, charge of 425
Electron, mass of 184 425
Electron, volt 425
Electrostatic unit 425
Element of area 44 419
Elementary flatness 273 313
Elliptic function 293
Elliptic function, orbit 293
Elliptic function, space 260
Embedded bodies 205
Embedded de Sitter universe 261
Emission, energy of 121 325
Emission, frequency of 122
Empty space-time (see Vacuum Gravitational
Energy of emission 121 325
Energy of particle or photon 114 118 122 325 392 418
Energy of reception 121 325
Energy tensor in field equations 179
Energy tensor in statistical model 164
Energy tensor of continuum 173ff 419
Energy tensor of dust cloud 175
Energy tensor of gas 176
Energy tensor of perfect fluid 175
Energy tensor, eigenvalues and eigenvectors of 168 169 174 185 186 189 193 194 208 233 256 279 331 334ff 357
Energy tensor, electromagnetic 357ff 418
Energy tensor, symmetry of 164 173
Energy, conservation of 229
Energy, density of 164 174 177
Energy, dimensions of 179
Energy, Doppler effect in terms of 121
Energy, flux of 164
Energy, high 109 225 373 378
Energy, meaning of 232
Energy, measured in sec 180
Energy, positive and negative 114 159 186 189 196 213 216 223 319 331 336 337
Energy, pseudo-tensor of 252ff 419
Energy, relative 114 118 122 418
Energy, rest 169
Energy, transmission of 377
Equation of motion of charged particle 359
Equation of motion of continuum 178 358
Equation of motion of isolated body 194ff 246ff
Equation of transparent medium 376 386 420
Equation, canonical or Hamiltonian 27
Equation, conservation 18 167 174 191 213 356
Equation, Euler — Lagrange 383
Equation, field 179ff 184ff 194 256 274 278 358 367
Equation, geodesic deviation 19ff 60ff 258 391
Equation, Hamilton — Jacobi 28
Equation, Killing 236
Equation, Lagrange 290 323
Equation, Laplace 311 313 341 369ff
Equation, Maxwell 356ff 361 364 367
Equation, Poisson 181 189 225
Equation, wave 226 352 357
Equilibrium in electrovac universe 367ff
Equilibrium of embedded bodies 205ff
Equilibrium of fluid mass 285ff 316
Equilibrium with positive and negative masses 314 315
Equilibrium, statistical 169 176
Equinox, precession of 296
Equivalence of gravitational and inertial mass 174
Equivalence of gravitational in symmetry 265
Equivalence of gravitational, principle of IX 133
Erez, G. 315
Erg 425
Escape velocity 426
Essential discontinuity 227
Ether VII 390 391 394
Euclidean standpoint in space-time 243ff
Euler — Lagrange equations 383
Eulerian method in continuum mechanics 169
Event 105
Event, base 242
Expansion of universe 322ff
Expansion of world-tube 172 219
Experiment 103
Experiment, ideal or thought 105
Extension of cell 42 420
Extension second, of metric tensor 55
Exterior Schwarzschild field 274ff 296 315 342
Falling apple 132ff 144 284
FC 84 418
Feed-back method 194 202 206 223
Fermat’s principle 380 386 389 418
Fermi coordinates 84ff 418 419
Fermi coordinates for adjacent curves 100ff
Fermi coordinates for falling apple 136ff
Fermi coordinates in differential chronometry 402ff
Fermi coordinates in kinematics of continuum 170ff
Fermi coordinates in spherical symmetry 267 270
Fermi coordinates, geodesics for 91ff
Fermi coordinates, metric for 87ff
Fermi coordinates, world-function for 100ff
Fermi distance 403
Fermi distance and bouncing photon 123ff
Fermi distance and falling apple 135
Fermi distance and rotation 14 131 173 407
Fermi distance on spacelike curve 150ff
Fermi distance, frame 117
Fermi distance, space 402
Fermi distance, tetrad and triad 15 83 117 127 129 135 139 170 396 401 402
Fermi distance, transport X 15 420
Fermi — Walker gravitational (see Gravitational field)
Fermi — Walker quations 179ff 184ff 194 256 274 278 358 367
Fermi — Walker transport 13 83 150ff 156 419
Fermi — Walker transport field, electromagnetic 354ff
Fermi, E. X 3 13 15 84
Finite geodesic triangle 70ff 78 79
Finiteness of space 257
Finlay — Freundlich, E. 301
Finzi, B. 192 228
First curvature and normal of curve or world-line 12 126 136 142 145 155 197 284 396 401 417 420
Five-dimensional space 261ff
Five-point curvature detector 408ff
Fixed-point theorem 196 198
Flat space-time 17 48 76 256 257 281 289
Flatness, deviation from 76 87 418 420
| Flatness, elementary 273 313
Fluid with spherical symmetry 285ff 316
Fluid, Cauchy problem for 218ff 360ff
Fluid, charged 355ff 360ff
Fluid, incoherent 175 180ff 195 219 355ff 360ff
Fluid, mass 188 198 199 285ff 316
Fluid, perfect 175ff 186ff 198 285ff 338
Flux 162ff 230
Flux of angular momentum 238 241 418
Flux of energy 164
Flux, electric 366
Flux, magnetic 366
Flux, numerical 163
Fock, V. A. 192
force 109 144
Force, dimensions of 184 426
Force, gravitational 109 184 205 210 249 426
Force, ponderomotive 359
Form, fundamental or metric 107 420
Fourier transform 343
Fours — Bruhat, Y. 213 217 360
Frame of reference 14 114ff 420
Frame of reference at rest 168 376
Free fall 132ff 144 284
Free fall, particle 109 (see also Geodesic hypothesis)
Frenet — Serret formulae 11 129 136 140 155
frequency 122 372 373 375 391 420
Frequency, Doppler effect in terms of 122
Frequency, function 372 418
Frequency, high 109 225 373 378
Frequency, vector 373ff 378
Function, elliptic 293
Function, frequency or phase 372 418
Function, harmonic 311 313 341 369ff
Function, Lagrangian 290 323 347 381 418
Function, principal or characteristic 28 29 419
Function, wave 202 (see also World-function)
Fundamental form and tensor 107 420
Fundamental form and tensor, speed 378 (see also Speed of light)
future 21 105
G (see Acceleration of gravity)
G-method 189 193 211 213
Galaxy, mass of 184
Gamma-rays 111 411
Gas 169 176
Gauss, theorem of 41 46 190 230 281ff 340 366 370
Gaussian coordinates 35ff 187 213 218 223 360 419
Gaussian coordinates, polar 266 270 272 276 288 420
Gaussian curvature 268 290
Gaussian curvature for Fermi coordinates 91ff
Gaussian curvature for optical coordinates 91ff
Gaussian curvature in Hamiltonian theory 31ff
Gaussian curvature in solar field 290ff
Gaussian curvature in weak field 301
Gaussian curvature, closed 260ff
Gaussian curvature, deviation 19ff 60ff 258 391
Gaussian curvature, generalized Kronecker delta 19 356 420
Gaussian curvature, geodesic 6
Gaussian curvature, hypothesis 110 165 195 250ff 290 361 391
Gaussian curvature, null (see Null geodesic)
Gaussian curvature, spacelike 154 156
Gaussian curvature, special parameter on 7 47 110 394ff
Gaussian curvature, stream-lines 175
Gaussian curvature, timelike 110
Gaussian curvature, triangle 70ff 73ff 78 79
Gaussian curvature, wave equation 226
Geodesics, intersection of (see Conjugate points)
Geometric object 249
Geometrical optics 30 225 372ff
Geometrical optics in static universe 386ff 393
Geometrical optics, variational principles in 380ff
Geometry 108
Geometry and intuition VIII 243
Giga 422
Gilvarry, J. J. 296
Godel, K. 331 335 338
Godel-type universe 331ff
Gram measured in sec 184 329 423 425
Gram weight of 426
Gravitational angular momentum 241
Gravitational field 109 132
Gravitational field and Riemann tensor VIII IX X 109 132 137 144ff 156ff 183 408ff
Gravitational field in vacuo 180 184 216ff 227 274ff 288 290 311ff 340 369
Gravitational field of earth and sun 289ff 304 393 425 426
Gravitational field of Sun (see Solar field)
Gravitational field with axial symmetry 309ff 352
Gravitational field with spherical symmetry 256ff 274ff 278ff 285ff 290 419
Gravitational field, cut-off 25 395
Gravitational field, measurement of VIII IX X 144ff 156ff 408ff
Gravitational field, statical 205ff 276 304 338ff 367ff 386ff 393
Gravitational field, stationary 275 299 389 398
Gravitational field, weak 189 203 240 242 289 301 308 393 399
Gravitational force 109 184 205 210 249 426
Gravitational, constant 181 183 184 298 419 423 424 426
Gravitational, intensity 144 284
Gravitational, mass 174
Gravitational, momentum 240
Gravitational, ray 228
Gravitational, spectral shift 123 298ff 305ff 387 414
Gravitational, torque 249
Gravitational, wave 217 218 227 228 343ff 350ff
Graviton 228
Gravity, acceleration of (see Acceleration of gravity)
Greek suffixes 15 117 127 136 151 170 181 212 248 267 332 345 355 415
Green, function of 23 418
Green, theorem of 41 46 233 239 245
Griffith, B. A. 139
Group of motions 234ff 275 299 309 337 352
Group-speed 378 388 419
Hagihara, Y. 293
Hamilton — Jacobi equation 28
Hamilton, W. R. 380
Hamiltonian theory 25ff 375ff 381 419 420
Harmonic function 311 313 341 369ff
Heat, generation of 178 229
Heaviside — Lorentz law 359
Heckmann, O. 322
Hecto 422
Helix 12
High energy or frequency 109 225 373 378
Hilbert, D. 108
Hlavaty, V. 354
Hoffmann, B. 142 192
Homogeneous sphere 287ff
Hour 425
Hubble’s constant 328
Hydrodynamics 176 184 186
Hyperbola of constant curvature 12
Hyperbolic orbit 293
Hypothesis of consistency 106
Hypothesis of consistency, geodesic 110 165 195 250ff 290 361 391
Hypothesis of consistency, Riemannian 107
ICARUS 296
Ideal experiment 105
Identifiable particles 169
Identifiable particles, points and symmetry 265
Ignorable coordinate 291
Imaginary coordinate 417
Impulse, Internal 159 160
Incoherent fluid 175 180ff 195 219 355ff 360ff
Incompressible motion 173 220
Indefinite metric 1 415
Index, Lorentz 10 164
Index, refractive 376 386 418
Indicator 2 420
Inertial mass 174 (see also Mass)
Infeld, L. 192 252
Information, transmission of 377
Integrability conditions 173
Integral conservation laws 229ff
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