At Long Last, Mathematical Proof That Black Holes Are Stable

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At Long Last, Mathematical Proof That Black Holes Are Stable
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The solutions to Einstein’s equations that describe a spinning black hole won’t blow up, even when poked or prodded.

The three mathematicians relied on a strategy—called proof by contradiction—that had been previously employed in related work. The argument goes roughly like this: First, the researchers assume the opposite of what they’re trying to prove, namely that the solution does not exist forever—that there is, instead, a maximum time after which the Kerr solution breaks down.

So far, stability has only been proved for slowly rotating black holes—where the ratio of the black hole’s angular momentum to its mass is much less than 1. It has not yet been demonstrated that rapidly rotating black holes are also stable. In addition, the researchers did not determine precisely how small the ratio of angular momentum to mass has to be in order to ensure stability.

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