Does infinite curvature of spacetime really exist in physical world?
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3At 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)? – ACuriousMind Nov 29 '16 at 22:53
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1Possible duplicate of Can we get infinite energy from space time (maybe curving it infinitely)? – Nov 30 '16 at 00:04
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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.
Alfred Centauri
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1This is Groundhog day, over and over, the same theme. http://physics.stackexchange.com/q/295469/ – Nov 29 '16 at 23:53