New PDF release: A sophisticate's primer of relativity

By P. W Bridgman

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We have already discussed time dilation, length contraction, physical speed in the general context. The definition of local gravity applied to the Minkowski line element, immediately gives the local gravity to be zero. We will see in the next section that with a different choice of coordinates, the local gravity will not be zero even though the Riemann tensor vanishes. 2 Uniform Gravity (Rindler Space-Time) Freely falling lifts is an important laboratory in the thought experiments in Einstein’s arguments.

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20), gives the desired expression. 36 General Relativity: Basics and Beyond We could have derived the previous two cases in the same manner as well. Specializing to staticity, gtφ = 0 immediately reproduces the previous expression. For the cosmological example, we have only ‘spatial homogeneity’ and isotropy which has 6 space-like Killing vectors whose time components are all zero. g. CA := (k i ξA g¯ij )a2 , A = 1, 2, 3. We have used the fact that the Killing vectors have no time component and g¯ is the time independent comoving metric.

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A sophisticate's primer of relativity by P. W Bridgman

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