gravitational singularity

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Related to Spacetime singularity: Gravitational singularity

gravitational singularity

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In the simplest model of a black hole, where the black hole has no spin or electric charge, any matter falling into the hole is inevitably crushed into a spacetime singularity, where the gravitational tidal forces are infinitely strong.
Indeed, in the next section we shall call attention to a generalization of the Extreme Value Theorem which is used crucially in the proofs of spacetime singularity theorems.
A full answer to this question is beyond the scope of this paper, but let us call attention to one topic whose standard treatment is essentially non-constructive, but which arrives at some of the most striking results in general relativity and cosmology, namely the spacetime singularity theorems of Hawking, and Hawking and Penrose.