The Volume Inside a Black Hole · HackerPapers discussions

The Volume Inside a Black Hole — mentioned by raattgift

Wed, 28 May 2025 17:42:04 GMT

The mean density of the interior is much much much lower than you think, because the Schwarzschild interior volume is enormously larger than that of a closed Euclidean 3-ball of the Schwarzschild radius. Some details: Christodoulou & Rovelli 2014 showed that the maximal interior volume of a Schwarzschild black hole increases with time <https://arxiv.org/abs/1411.2854>. There is plenty of follow-on work in the literature for other varieties of black hole, and it is pretty generic that a black hole gets REALLY BIG inside as it gets older. I have previously aimed HNers at DiNunno & Matzner 2008…

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The Volume Inside a Black Hole — mentioned by raattgift

Thu, 24 Oct 2024 11:48:02 GMT

The area of the Sun and the Earth and every other self-gravitating body in hydrostatic equilibrium is also proportional to the body's mass. Volumes are weird though: unlike area, relativistic volume can depend on the body's (and the spacetime's) history and composition rather than just the body's mass. In general the spatial volumes inside massive bodies in curved spacetime are larger than in Euclidean-Newtonian space. The volume deviation is carried in the Ricci tensor https://en.wikipedia.org/wiki/Ricci_curvature#Direct_geometr... http://arxiv.org/pdf/gr-qc/0401099v1 (section 5.2)…

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The Volume Inside a Black Hole — mentioned by raattgift

Tue, 07 Nov 2023 05:00:46 GMT

The interior volume of a black hole doesn't work much like the interior volume of 3-ball <https://en.wikipedia.org/wiki/Ball_(mathematics)>, except perhaps the regions closest to (but inside) the horizon in the limit of the largest black holes. The short version is that a black hole's interior volume grows throughout its lifetime, and the interior of an eternal black hole grows to infinity, even if the area of the event horizon remains unchanged. It's essentially the inverse of a Gabriel's horn <https://en.wikipedia.org/wiki/Gabriel%27s_horn>, which develops an infinite surface area (as…

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