Spherically symmetric gravitational collapse of perfect fluids

P. Lasky, A. Lun

Research output: Chapter in Book/Report/Conference proceedingConference PaperResearchpeer-review

Abstract

Formulating a perfect fluid filled spherically symmetric metric utilizing the 3+1 formalism for general relativity, we show that the metric coefficients are completely determined by the mass-energy distribution, and its time rate of change on an initial spacelike hypersurface. Rather than specifying Schwarzschild coordinates for the exterior of the collapsing region, we let the interior dictate the form of the solution in the exterior, and thus both regions are found to be written in one coordinate patch. This not only alleviates the need for complicated matching schemes at the interface, but also finds a new coordinate system for the Schwarzschild spacetime expressed in generalized Painleve-Gullstrand coordinates.

Original languageEnglish
Title of host publication11th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories - Proc. of the MG11 Meeting on General Relativity
PublisherWorld Scientific Publishing
Pages2288-2290
Number of pages3
ISBN (Print)9812834265, 9789812834263
DOIs
Publication statusPublished - 1 Jan 2008
Event11th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories, MG 2006 - Berlin, Germany
Duration: 23 Jul 200629 Jul 2006

Publication series

Name11th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories - Proc. of the MG11 Meeting on General Relativity

Conference

Conference11th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories, MG 2006
CountryGermany
CityBerlin
Period23/07/0629/07/06

Keywords

  • Gravitational collapse
  • Perfect fluid

Cite this