Page:The Meaning of Relativity - Albert Einstein (1922).djvu/134

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122
THE MEANING OF RELATIVITY

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.