Oppenheimer-Snyder collapse with maximal time slicing and isotropic coordinates

Details Oppenheimer-Snyder collapse with maximal time slicing and isotropic coordinates Oppenheimer-Snyder collapse with maximal time slicing and isotropic coordinates

May 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985phrvd..31.2459p&link_type=abstract

Physical Review D (Particles and Fields), Volume 31, Issue 10, 15 May 1985, pp.2459-2469

Physics

41

Fundamental Problems And General Formalism, Black Holes

Scientific paper

The exact solution for the collapse from rest of an initially homogeneous dust sphere (Oppenheimer-Snyder collapse) provides a convenient test-bed calculation for fully general-relativistic time-dependent numerical codes which evolve matter in strong gravitational fields. Such codes are usually based on the Arnowitt-Deser-Misner 3+1 formalism, for which maximal time slicing and isotropic spatial coordinates often prove to be desirable gauge choices to constrain the lapse and shift functions. To be useful as a check on these numerical schemes, the entire Oppenheimer-Snyder solution must then be expressed in this gauge. We perform the required coordinate transformations in this paper and discuss some general features of the matter profiles and spacetime geometry in this gauge.

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