Spherically symmetric perfect fluid in area-radial coordinates

Details Spherically symmetric perfect fluid in area-radial coordinates Spherically symmetric perfect fluid in area-radial coordinates

2004-05-06

arxiv.org/abs/gr-qc/0405026v3

Class.Quant.Grav. 22 (2005) 841-854

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Accepted by CQG. LaTex file, 14 pages, no figures

Scientific paper

10.1088/0264-9381/22/5/006

We study the spherically symmetric collapse of a perfect fluid using area-radial coordinates. We show that analytic mass functions describe a static regular centre in these coordinates. In this case, a central singularity can not be realized without an infinite discontinuity in the central density. We construct mass functions involving fluid dynamics at the centre and investigate the relationship between those and the nature of the singularities.

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