Higher dimensional dust collapse with a cosmological constant

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• 作者：S. G. Ghosh and D. W. Deshkar
• 关键词：Gravitational collapse ; Naked singularity ; Cosmic censorship ; Higher dimensions
• 刊名：Astrophysics and Space Science
• 出版年：2007
• 出版时间：July, 2007
• 年：2007
• 卷：310
• 期：1-2
• 页码：111-117
• 全文大小：265 KB

文摘

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.