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I have a question to the singularities of spacetime (where the metric tensor is infinite, but not the coordinate singularities which can be removed be a change of coordinate)

It's easy to show that a singularity of the riemanian tensor scalar R_{αβμν}R^{αβμν}leads to a singularity of the spacetime. But what about the other way round? Is it possible to proof that each singularity of spacetime is also a singularity of R_{αβμν}R^{αβμν}?

Thanks for help.

Neutrinos

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# Singularity of spacetime/singularity of the riemanian tensor

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