Higher dimensional dust collapse with a cosmological constant

被引:17
|
作者
Ghosh, S. G.
Deshkar, D. W.
机构
[1] BITS Pilani, Dubai, U Arab Emirates
[2] Birla Inst Technol & Sci, Pilani 333031, Rajasthan, India
[3] Coll Sci, Nagpur 440012, Maharashtra, India
关键词
gravitational collapse; naked singularity; cosmic censorship; higher dimensions; GRAVITATIONAL COLLAPSE; NAKED SINGULARITIES; COSMIC CENSORSHIP; BLACK-HOLES; GENERAL-RELATIVITY; SPHERICAL-SYMMETRY; VIOLATION; STRENGTHS;
D O I
10.1007/s10509-007-9485-9
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
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 embedded in a de Sitter background. The solution is then matched to exterior HD Schwarzschild-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.
引用
收藏
页码:111 / 117
页数:7
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