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Does infinite curvature of spacetime really exist in physical world?

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    $\begingroup$ At which point do you think general relativity claims spacetime to be "infinitely curved" (note that the "point" at the center of a Schwarzschild black hole is called a "singularity" for a reason)? $\endgroup$
    – ACuriousMind
    Commented Nov 29, 2016 at 22:53
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    $\begingroup$ Possible duplicate of Can we get infinite energy from space time (maybe curving it infinitely)? $\endgroup$
    – user108787
    Commented Nov 30, 2016 at 0:04

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Can space time really be infinitely curved (e.g by a black hole)?

A black hole doesn't curve spacetime, a black hole is (a region of) highly curved spacetime with, according to General Relativity (GR), a curvature singularity enclosed by an event horizon.

However, GR is a classical theory and, as far as we know, the physical world is better modeled with quantum theory. A quantum theory of gravity is still a work in progress.

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