The Kretschmann scalar (the full contraction of the Reimann tensor K = R_abcd R^abcd) is often used to identify singularities - i.e. for a Schwarzschild black hole, K \propto 1/r^6, so we have a singularity at r=0, but not at the Schwarzschild horizon).(adsbygoogle = window.adsbygoogle || []).push({});

Clearly, as r->\infinity, K->0. Is K=0 a measure of flat spacetime in general? Is there a reference that shows this?

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# Kretschmann Scalar

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