Gravitational collapse in Painlevé-Gullstrand coordinates

Details Gravitational collapse in Painlevé-Gullstrand coordinates Gravitational collapse in Painlevé-Gullstrand coordinates

2010-08-03

arxiv.org/abs/1008.0470v1

Prog.Theor.Phys.125:1053-1065,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

10.1143/PTP.125.1053

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.

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