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arXiv 0907.0593hep-th
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黑洞脱毛:非线性分析

Black Hole Hair Removal: Non-linear Analysis

Dileep P. Jatkar, Ashoke Sen, Yogesh K. Srivastava

摘要:

在平坦横空间和Taub-NUT空间中的BMPV黑洞具有相同的近视界几何结构,但微观简并不同。有人提出,这种差异可以解释为这些黑洞从头发模式,-生活在视界外的自由度退化的不同贡献。本文将这两个黑洞的毛模构造为满足超引力运动的完全非线性方程组且保持原解的超对称性的黑洞解的有限玻色子和费米子形变。特别注意的是,以确保这些解决方案没有任何曲率奇点在未来的地平线时,视为完整的十维几何。我们发现,在从微观配分函数中去除头发自由度的贡献后,两个黑洞的配分函数是一致的。

英文摘要:

BMPV black holes in flat transverse space and in Taub-NUT space have identical near horizon geometries but different microscopic degeneracies. It has been proposed that this difference can be accounted for by different contribution to the degeneracies of these black holes from hair modes, -- degrees of freedom living outside the horizon. In this paper we explicitly construct the hair modes of these two black holes as finite bosonic and fermionic deformations of the black hole solution satisfying the full non-linear equations of motion of supergravity and preserving the supersymmetry of the original solutions. Special care is taken to ensure that these solutions do not have any curvature singularity at the future horizon when viewed as the full ten dimensional geometry. We show that after removing the contribution due to the hair degrees of freedom from the microscopic partition function, the partition functions of the two black holes agree.

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