Generalized Lemaitre-Tolman-Bondi Solutions with Pressure

dc.creatorLasky, Paul
dc.creatorLun, Anthony
dc.date2006-06-13
dc.date2006-09-21
dc.date.accessioned2026-07-07T07:13:10Z
dc.date.available2026-07-07T07:13:10Z
dc.descriptionUtilizing 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.
dc.descriptionAccepted for publication by Physical Reviews D
dc.identifierhttps://arxiv.org/abs/gr-qc/0606055
dc.identifierhttp://arxiv.org/abs/gr-qc/0606055
dc.identifierPhys.Rev. D74 (2006) 084013
dc.identifierdoi:10.1103/PhysRevD.74.084013
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/112353
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleGeneralized Lemaitre-Tolman-Bondi Solutions with Pressure
dc.typetext

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