Quasi-Spherical Gravitational Collapse in Any Dimension

Details Quasi-Spherical Gravitational Collapse in Any Dimension Quasi-Spherical Gravitational Collapse in Any Dimension

2003-05-20

arxiv.org/abs/gr-qc/0305075v1

Gen.Rel.Grav. 36 (2004) 231-243

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 Latex pages, No figure, Revtex style

Scientific paper

10.1023/B:GERG.0000010472.10539.

We study the occurrence and nature of naked singularities for a dust model with non-zero cosmological constant in ($n+2$)-dimensional Szekeres space-times (which possess no Killing vectors) for $n\geq 2$. We find that central shell-focusing singularities may be locally naked in higher dimensions but depend sensitively on the choice of initial data. In fact, the nature of the initial density determines the possibility of naked singularity in space-times with more than five dimensions. The results are similar to the collapse in spherically symmetric Tolman-Bondi-Lema\^{\i}tre space-times.

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