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arXiv · 2411.15868

Analytic models for gravitational collapse

Sinya Aoki·Jorge Ovalle
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Abstract

We present two analytical models of gravitational collapse toward the Schwarzschild black hole, starting from the interior of the revisited Schwarzschild solution recently reported in [Phys. Rev. D 109, 104032 (2024)]. Both models satisfy some energy conditions at all times as long as the collapse is slower than some limit. While a singularity of the Schwarzschild black hole at the origin ($R_{\mu\nu\alpha\beta}R^{\mu\nu\alpha\beta}\sim r^{-6}$) forms immediately after the start of the collapse in one model, such a singularity never appear at finite time during the collapse (except $t\to\infty$) in the other model. The scheme used shows great potential for studying in detail the appearance of singularities in general relativity.

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Sinya Aoki, Jorge Ovalle. 2024-11-24. Analytic models for gravitational collapse. https://arxiv.org/abs/2411.15868

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