Gravitational collapse in Painlev\'e-Gullstrand coordinates
General Relativity and Quantum Cosmology
2011-08-19 v1
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 Painlev\'e-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.
Keywords
Cite
@article{arxiv.1008.0470,
title = {Gravitational collapse in Painlev\'e-Gullstrand coordinates},
author = {Yuki Kanai and Masaru Siino and Akio Hosoya},
journal= {arXiv preprint arXiv:1008.0470},
year = {2011}
}