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Eddington A.S. — Mathematical Theory of Relativity
Eddington A.S. — Mathematical Theory of Relativity

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Название: Mathematical Theory of Relativity

Автор: Eddington A.S.

Язык: en

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1930

Количество страниц: 280

Добавлена в каталог: 26.01.2009

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$B^e_{\mu\nu\sigma}$ (Riemann — Christoffel tensor)      72 226
$E_{\mu\nu}$ (electromagnetic energy-tensor)      181
$F_{\mu\nu}$ (electromagnetic force)      171 219
$G_{\mu\nu}$ (Einstein tensor)      81
$h_\mu$ (ponderomotive force)      181
$J_\mu$ (charge-and-current vector)      172
$M_{\mu\nu}$ (material energy-tensor)      181
$R_{\mu\nu}$ (gauging-tensor)      219
$T_{\mu\nu}$ (energy-tensor)      102 116
$\mathcal{H}$ (Hamiltonian operator)      139
Absolute change      69
Absolute change, physical quantities      5 (footnote)
Absolute change, properties of a region      205
Absolute change, rotation      99
Abstract geometry and natural geometry      37
Acceleration of light-pulse      91
Acceleration of light-pulse of charged particle      189
Acceleration of light-pulse, determined by symmetrical condition      192
Action, material or gravitational      137
Action, material or gravitational, electromagnetic      187
Action, material or gravitational, numerical values of      237
Action, material or gravitational, Weyl’s formula      209 231
Action, principle of stationary      139 147
Addition of velocities      18 21 22
Adjustment and persistence      208
Aether      224
Affine geometry      214
Angle between two vectors      58
Antisymmetrical tensors      67
Antisymmetrical tensors of fourth rank      107
Aspect, relation of      49
Associated tensors      56
Atom, time of vibration of      91
Atom, time of vibration of, in de Sitter’s world      157 164
Atomicity 120 (footnote)      139 146
Bifurcation of geometry and electrodynamics      223
Canonical coordinates      79
Centrifugal force      38
Charge, electric, conservation of      173
Charge, electric, invariance of      174
Charge-and-current vector      172
Charge-and-current vector, general existence of      230
Christoffel’s 3-index symbols      58
Christoffel’s 3-index symbols, generalisation of      203
Clocks, transport of      15 27
Comparability of proximate relations      225
Components, covariant and contra variant      57
Composition of velocities      21 22
Condition of the world      3 47
Configuration of events      10
Conservation of electric charge      173
Conservation of energy      32
Conservation of matter      33
Conservation of momentum and mass      30
Conservation, formal law of      134
Constitutive equations      34 195
Continuity in electric flow      173
Continuity, equation of      117
Continuous matter, gravitation in      101 119
Contracted derivative (divergence)      113
Contracted derivative, second derivative      64
Contraction of tensors      53
Contraction, FitzGerald      25
Contravariant vectors      43 44
Contravariant vectors, derivatives      62
Contravariant vectors, tensors      52
Coordinate-systems, canonical      79
Coordinate-systems, Galilean      38
Coordinate-systems, isotropic      93
Coordinate-systems, natural      80
Coordinate-systems, proper      80
Coordinate-systems, rectangular      13
Coordinate-systems, statical      81
coordinates      9
Coordinates, difficulty in the introduction of      225
Coordinates, general transformation of      34 43
Coordinates, representation of displacement      49
Covariant derivative of invariant      63
Covariant derivative of tensor      62 65
Covariant derivative of vector      60
Covariant derivative, significance of      68
Covariant derivative, utility of      63
Covariant vector      43
Covariant vector, tensor      52
Creation of the physical world      147 230 238
Curl      67
Current, electric      172
Curvature of 4-dimensional manifold      149
Curvature of light-tracks      91
Curvature, Gaussian      82
Curvature, quadric of      152
Curvature, radius of spherical      151
Cylindrical world      155
de Sitter’s spherical world      155 161
Deductive theory and experiment      105
Deflection of light      90
Density, definitions of proper-      121
Density, in-invariant-      205
Density, Lorentz transformation of      33
Density, scalar- and tensor-      111
Derivative, contravariant      62
Derivative, covariant      60 62 65
Derivative, in-covariant      203
Derivative, significance of      68
Determinants, manipulation of      107
Differentiation of summed expression      75
Differentiation, covariant, rules for      65 see
Dimensions, principle of      48 54
Dimensions, reason for four      206
Dimensions, world of 3+1      25
Displacement      49
Displacement of spectral lines to red in nebulae      157 161
Displacement of spectral lines to red in sun      91
Displacement, parallel      70 213
Distance      see "Length"
Divergence of a tensor      113
Divergence of energy-tensor      115 119
Divergence of Hamiltonian derivative of an invariant      141
Dummy suffixes      51
Dynamical velocity      120 125
Dynamics of a particle      125
Eclipse Results      91
Einstein’s cylindrical world      155 166
Einstein’s law of gravitation      81
Einstein’s law of gravitation in continuous matter      101 119
Einstein’s law of gravitation, alternatives to      143
Einstein’s law of gravitation, equivalent to the gauging-equation      221
Einstein’s law of gravitation, interpretation of      154
Electric charge, conservation of      173
Electric charge, invariance of      174
Electromagnetic action      187
Electromagnetic action, energy-tensor      182
Electromagnetic action, force      171
Electromagnetic action, potential      171
Electromagnetic action, signals      28
Electromagnetic action, volume      194
Electromagnetic action, waves, propagation of      175
Electron, acceleration in electromagnetic field      189
Electron, gravitational field of      185
Electron, magnetic constitution of      211
Electron, non-Maxwellian stresses in      183
Electron, size of      192
Elements of inner planets      89
Elliptical space      157
empty space      221
Energy, identified with mass      32
Energy, potential      135
Energy-tensor of electromagnetic field      182
Energy-tensor of matter      116 141
Energy-tensor, obtained by Hamiltonian differentiation      147 229
entropy      34
Equivalence of displacements      213 226
Equivalence, principle of      41
Experiment and deductive theory      105
Explanation of phenomena, ideal      106
Extension and location      9
Fields of force      37
Finiteness of space      156
Fitzgerald Contraction      25
Fizeau’s experiment      21
Flat space-time      16
Flat space-time, condition for      76
Flux      67
Flux, electromagnetic      192 232
Flux, gravitational      144
Force, covariant and contravariant components      50
Force, electromagnetic      171
Force, expressed by 3-index symbols      122
Force, Lorentz transformation of      179
Force, mechanical force due to      180 189 229
Foucault’s pendulum      99
Four dimensions of world      206
Fraunhofer lines, displacement of      91
Fresnel’s convection-coefficient      21
Fundamental theorem of mechanics      115
Fundamental velocity      19
Fundamental velocity, invariants      141
Fundamental velocity, tensors      55 79
Galilean coordinates      38
Gauge-system      200 217
Gauging-equation      219
Gaussian curvature      82 151
Generalisation of Weyl’s theory      213
Generalised volume      206 232
Geodesic curvature      91
Geodesic, equations of      60
Geodesic, produced by parallel displacement      71
Geometry, abstract and natural      37
Geometry, affine geometry      214
Geometry, Riemannian      11
Geometry, world geometry      198
German letters, denoting tensor-densities      111
Graphical representation      196
Gravitation      38 see
Gravitation, Newtonian constant of      128
Gravitational field of a particle      82
Gravitational field of an electron      185
Gravitational flux      144
Gravitational mass of sun      87
Gravitational mass of sun, equality with inertial mass      130 145
Group      47
Hamiltonian derivative      139
Hamiltonian derivative of electromagnetic action      187
Hamiltonian derivative of fundamental invariants      141
Hamiltonian derivative of general world-invariants      228
Hamiltonian derivative, creative aspect of      147 230 238
Homogeneous sphere, problem of      168
Horizon of world      101 157 165
Hydrodynamics, equations of      117 118
Hydrostatic pressure      121
Identification, Principle of      119 222
Identities satisfied by $G_{\mu\nu}$      95 115
Ignoration of coordinates      233
Imaginary intervals      12
In- (prefix)      202
In-covariant derivative      203
In-invariants      205 232
In-tensors      202
In-tensors, fundamental      215
Incompressibility      112 122
Indicatrix      150
Inductive Theory      105
Inertia, electromagnetic origin of      183
Inertia, elementary treatment      29
Inertial frame, precession of      99
Inertial mass      128
Inertial mass, equal to gravitational mass      130 145
Inner multiplication      53
Integrability of length and direction      198
Integrability of parallel displacement      73
Intensity and quantity      111
interval      10
Invariant      30
Invariant density (proper-density)      121
Invariant mass      30 183
Invariant, formation of      58
Invariant-density (scalar-density)      111
Isotropic coordinates      93
Jacobian      108
Kepler’s third law      89
Kinematical velocity      120 125
Lagrange’s equations      132
Lagrangian function      131 233
Length of a vector      57
Length, definition of      1 217
Length, measurement of      11
Length, non-integrability of      198
Light, deflection in gravitational field      90
Light, propagation of      175
Light, velocity of      19 23
Light-pulse in curved world      163
Light-pulse in-invariant equation      220
Light-pulse, equation of track      37
Location and extension      9
Longitudinal mass      31
Lorentz transformation      17 25
Lorentz transformation for electromagnetic force      179
Macroscopic electromagnetic equations      194
Magnetic constitution of electron      211
Manufacture of physical quantities      1
Mass of the world, total      166
Mass, electromagnetic      193
Mass, gravitational and inertial      128 130 145
Mass, invariant and relative      30 183
Mass, variation with velocity      30
Mass, variation with velocity of electromagnetic field      183
Mass, variation with velocity, identified with energy      32
Mass-horizon of world      165
Mathematics contrasted with physics      1
Matter, conservation of      33
Matter, identification of      119 146
Maxwell’s equations      172
Maxwell’s equations, second order corrections to      234
Measure of interval      11
Measure-code      2 48
Measurement, principle of      220 238
Mechanical force of electromagnetic field      180
Mechanical force, explanation of      189
Mechanical force, general theory of      229
Mercury, perihelion of      89
Mesh-system      9
Metric, introduction of      216
Metric, sole character of space and time      221
Michelson — Morley experiment      19
Mixed tensors      52
Momentum, conservation of      118
Momentum, electromagnetic      183
Momentum, elementary treatment      29
Moon, motion of      95
Multiplication, Inner and Outer      53
Natural coordinates      80
Natural coordinates, gauge      206 219
Natural coordinates, geometry      38 196
Natural coordinates, measure      80
Nebulae, velocities of      162
Non-integrability of length and direction      198
Non-Maxwellian stresses      182 184
Non-Riemannian geometry      197
Normal 6-dimensional      151
Null-cone      22
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