2006/06/30 by Paul Lasky, Anthony Lun · 1 citation
Physics and Astronomy · #gr-qc
paper · pdf · doi:10.1103/physrevd.74.084013
published as Phys.Rev. D74 (2006) 084013 · Accepted for publication by Physical Reviews D
arxiv created 2006/09/21 · arxiv updated 2009/12/01
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 non-static cases to comoving coordinates, where the metric is seen to be a direct generalization of the Lemaitre-Tolman-Bondi spacetime to include pressures.