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Gravitational collapse in Painlev\'e-Gullstrand coordinates · Around

2010

Gravitational collapse in Painlev\'e-Gullstrand coordinates

Kanai, Yuki, Siino, Masaru, Hosoya, Akio

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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.

Built on

P. Painlevé, C. R. Acad. Sci. (Paris) 173
1921
Earlier work this paper cites.
A. Gullstrand, Arkiv. Mat. Astron. Fys. 16
1922
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J. R. Oppenheimer and H. Snyder, Phys. Rev. 56
1939
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C. W. Misner, K. S. Thorne and J. A. Wheeler, Gravitation
1973
Earlier work this paper cites.

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