Einstein A. The meaning of relativity (Princeton, 1921)(103s)_PPop

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Einstein A. The meaning of relativity (Princeton, 1921)(103s)_PPop_.pdf

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Date Jan 18, 2002

s 2 = ∑ ∆xν2
If K ( xν ) and K '( xν ) are two Cartesian systems of co-ordinates, then...

 d 2ξν   m 2 − Xν  ξ µ = 0  dt 
were a preferred direction in space it would simplify the description of natural phenomena to orient the system of coordinates in a definite way with respect to this direction. But if, on the other hand, there is no unique direction in space it is not logical to formulate the laws of nature in such a way as to conceal the equivalence of systems of coordinates that are oriented differently. We shall meet with this point of view again in the theories of special and general relativity....

K µ = φ µν Jν
using the field equations (32), we express Jν in terms of the field intensities, φ µν , we obtain, after some transformations and repeated application of the field equations (32) and (33), the expression...

Aµ = g µ α Aα Aµ = g µ α Aα Tµσ = g σ ν Tµν
Volume Invariants. The volume element...

/HW IXUWKHU $D EH WKHYDOXH REWDLQHG IURP $D E\ D SDUDOOHOGLVSODFHPHQWDORQJWKHFXUYHIURP 3...
Let us combine it with the first two terms of the right-hand side of (10) to an expression K ilk * ...