(adsbygoogle = window.adsbygoogle || []).push({}); Any physical quantity ##K(t,x,x')## on a maximally symmetric spacetime only depends on the geodesic distance between the points ##x## and ##x'##.

Why is this so?

N.B.:

This statement is different from the statement that

The geodesic distance on any spacetime is invariant under an arbitrary coordinate transformation of that spacetime.

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# A Only the geodesic distance matters for maximally symmetric spacetimes

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