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Title:
Generalized Lemaitre-Tolman-Bondi solutions with pressure
Authors:
Lasky, P. D.; Lun, A. W. C.
Affiliation:
AA(Centre for Stellar and Planetary Astrophysics School of Mathematical Sciences, Monash University Wellington Rd, Melbourne 3800, Australia), AB(Centre for Stellar and Planetary Astrophysics School of Mathematical Sciences, Monash University Wellington Rd, Melbourne 3800, Australia)
Publication:
Physical Review D, vol. 74, Issue 8, id. 084013 (PhRvD Homepage)
Publication Date:
10/2006
Origin:
APS
PACS Keywords:
Initial value problem, existence and uniqueness of solutions, Exact solutions, Classical black holes
Abstract Copyright:
(c) 2006: The American Physical Society
DOI:
10.1103/PhysRevD.74.084013
Bibliographic Code:
2006PhRvD..74h4013L

Abstract

Utilizing the ADM equations, we derive a metric and reduced field equations describing a general, spherically symmetric perfect fluid. The metric describes both the interior perfect fluid region and exterior vacuum Schwarzschild spacetime in a single coordinate patch. The exterior spacetime is in generalized Painleve-Gullstrand coordinates which is an infinite class of coordinate systems. In the static limit the system reduces to a Tolman-Oppenheimer-Volkoff equation on the interior with the exterior in Schwarzschild coordinates. We show the coordinate transformation for the nonstatic cases to comoving coordinates, where the metric is seen to be a direct generalization of the Lemaitre-Tolman-Bondi spacetime to include pressures.
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