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Prog. Theor. Phys. Vol. 125 No. 5 (2011) pp. 1053-1065
Gravitational Collapse in Painlevé-Gullstrand Coordinates
Yuki Kanai,
Masaru Siino and
Akio Hosoya
Department of Physics, Tokyo Institute of Technology, Tokyo 152-8551, Japan
(Received October 25, 2010; Revised March 18, 2011)
Abstract:
We construct a simple expression 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 cases corresponding to the gravitational collapse
from infinity and from a finite radius.
Subject Index :
420, 451
URL :
http://ptp.ipap.jp/link?PTP/125/1053/
DOI : 10.1143/PTP.125.1053
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