Higher dimensional dust collapse with a cosmological constant

Details Higher dimensional dust collapse with a cosmological constant Higher dimensional dust collapse with a cosmological constant

2006-07-31

arxiv.org/abs/gr-qc/0607142v1

Astrophys.Space Sci.310:111-117,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 Pages, no figures

Scientific paper

10.1007/s10509-007-9485-9

The general solution of the Einstein equation for higher dimensional (HD) spherically symmetric collapse of inhomogeneous dust in presence of a cosmological term, i.e., exact interior solutions of the Einstein field equations is presented for the HD Tolman-Bondi metrics imbedded in a de Sitter background. The solution is then matched to exterior HD Scwarschild-de Sitter. A brief discussion on the causal structure singularities and horizons is provided. It turns out that the collapse proceed in the same way as in the Minkowski background, i.e., the strong curvature naked singularities form and that the higher dimensions seem to favor black holes rather than naked singularities.

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