Stable non-uniform black strings below the critical dimension
Stable non-uniform black strings below the critical dimension
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DOI：
10.1007/jhep11(2012)071
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发表时间：
2012-11-01
影响因子：
5.4
通讯作者：
Reall, Harvey S.
中科院分区：
文献类型：
--
作者：
Figueras, Pau;Murata, Keiju;Reall, Harvey S.
高维真空爱因斯坦方程存在非均匀的黑弦解。有人认为，无限小的非均匀黑弦在13维或更少的维度上应该是不稳定的，否则是稳定的。我们在11，12，13，14和15维构造数值非均匀黑弦解。利用局部Penrose不等式研究了它们的稳定性。弱非一致解的行为符合预期。然而，在12维和13维中，强非均匀解似乎是稳定的，并且可以比相同质量的均匀弦具有更大的视界面积。在14维和15维中，所有不均匀的黑弦似乎都是稳定的。
The higher-dimensional vacuum Einstein equation admits translationally non-uniform black string solutions. It has been argued that infinitesimally non-uniform black strings should be unstable in 13 or fewer dimensions and otherwise stable. We construct numerically non-uniform black string solutions in 11, 12, 13, 14 and 15 dimensions. Their stability is investigated using local Penrose inequalities. Weakly non-uniform solutions behave as expected. However, in 12 and 13 dimensions, strongly non-uniform solutions appear to be stable and can have greater horizon area than a uniform string of the same mass. In 14 and 15 dimensions all non-uniform black strings appear to be stable.