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arXiv · 1008.0470

Gravitational collapse in Painlevé-Gullstrand coordinates

Yuki Kanai·Masaru Siino·Akio Hosoya
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Abstract

We construct an exact solution for the spherical gravitational collapse in a single coordinate patch. To describe the dynamics of collapse, we use a generalized form of the Painlevé-Gullstrand coordinates in the Schwarzschild spacetime. The time coordinate of the form is the proper time of a free-falling observer so that we can describe the collapsing star not only outside but also inside the event horizon in a single coordinate patch. We show the both solutions corresponding to the gravitational collapse from infinity and from a finite radius.

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Yuki Kanai, Masaru Siino, Akio Hosoya. 2010-08-03. Gravitational collapse in Painlevé-Gullstrand coordinates. https://doi.org/10.1143/ptp.125.1053

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