# The Meaning of Relativity/Index

INDEX
A
Accelerated massesinductive action of, 113. Addition and subtraction of tensors, 14. — theorem of velocities, 40.
B
Biot-Savart force, 46.
C
Centrifugal force, 67. Clocks–moving, 39. Compressible viscous fluid, 22. Concept of space, 3. – – time, 30. Conditions of orthogonality, 7. Congruence–theorems of, 3. Conservation principles, 55. Continuum–four-dimensional, 33. Contraction of tensors, 15. Contra-variant vectors, 72. – – tensors, 75. Co-ordinates–preferred systems of, 8. Co-variance of equation of continuity, 22. Co-variant, 12 et seq. – – vector, 72. Criticism of principle of inertia, 65. Criticisms of theory of relativity, 31. Curvilinear co-ordinates, 68.
D
Differentiation of tensors, 76, 79. Displacement of spectral lines, 101.
E
Energy and mass, 48, 51. – tensor of electromagnetic field, 52. – – of matter, 56. Equation of continuity–co-variance of, 22. Equations of motion of materia particle, 52. Equivalence of mass and energy, 51. Equivalent spaces of reference, 26. Euclidean geometry, 4.
F
Finiteness of universe, 110. Fizeau, 29. Four-dimensional continuum, 33. Four-vector, 43. Fundamental tensor, 74.
G
Galilean regions, 65. – transformation, 28. Gauss, 68. Geodetic lines, 86. Geometry, Euclidean, 4. Gravitational mass, 63. Gravitation constant, 98.
H
Homogeneity of space, 17. Hydrodynamical equations, 56. Hypotheses of pre-relativity physics, 77.
I
Inductive action of accelerated masses, 113. Inert and gravitational mass–equality of, 63. Invariant, 10 et seq. Isotropy of space, 17.
K
Kaluza, 108.
L
Levi-Civita, 77. Light-cone, 42. Light ray–path of, 102. Light-time, 34. Linear orthogonal transformation, 7. Lorentz electromotive force, 46. – transformation, 32.
M
Mach, 62, 109, 110, 111, 113, 119. Mass and Energy, 48, 51. – equality of gravitational and inert, 63. – gravitational, 63. Maxwell’s equations, 23. Mercury–perihelion of, 103, 107. Michelson and Morley, 29. Minkowski, 34. Motion of particle–equations of, 52. Moving measuring rods and clocks, 39. Multiplication of tensors, 14.
N
Newtonian gravitation constant, 98.
O
Operations on tensors, 14 et seq. Orthogonality–conditions of, 7. Orthogonal transformations–linear.
P
Path of light ray, 102. Perihelion of Mercury, 103, 107. Poisson's equation, 90. Preferred systems of co-ordinates, 8. Pre-relativity physics–hypotheses of, 27. Principle of equivalence, 64. – – inertia – criticism of, 65. Principles of conservation, 55.
R
Radius of Universe, 118. Rank of tensor, 14. Ray of light–path of, 102. Reference–space of, 4. Riemann, 72. – tensor, 82, 85, 110. Rods (measuring) and clocks in motion, 39. Rotation, 66.
S
Simultaneity, 17, 30. Sitter, 29. Skew-symmetrical tensor, 15. Solar Eclipse expedition (1919), 103. Space–concept of, 3. – homogeneity of, 17. – Isotropy of, 17. Spaces of reference, 4; equivalence of, 26. Special Lorentz transformation, 36. Spectral lines–displacement of, 101. Straightest lines, 86. Stress tensor, 22. Symmetrical tensor, 15. Systems of co-ordinates–preferred, 8.
T
Tensor, 12 et seq, 72 et seq. – Addition and subtraction of, 14. – Contraction of, 15. – Fundamental, 74. – Multiplication of, 14. ​Tensor, operations, 14 et seq. – Rank of, 14. – Symmetrical and Skew-symmetrical, 15. Tensors–formation by differentiation, 76. Theorem for addition of velocities, 40. Theorems of congruence, 3. Theory of relativity, criticisms of, 31. Thirring, 113. Time-concept, 30. Time-space concept, 33. Transformation–Galilean, 28. – Linear orthogonal, 7.
U
Universe–finiteness of, 110. – radius of, 118.
V
Vector–co-variant, 72. – contra-variant, 72. Velocities–addition theorem of, 40. Viscous compressible fluid, 22.
W
Weyl, 77, 103, 108.