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arXiv 1909.07904hep-th
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高维Reissner-Nordstrom-de Sitter黑洞中Dirac场的强宇宙监督

Strong cosmic censorship for the Dirac field in the higher dimensional Reissner-Nordstrom--de Sitter black hole

Xiaoyi Liu, Stijn Van Vooren, Hongbao Zhang, Zhen Zhong

摘要:

研究了高维Reissner-Norstrom-deSitter黑洞中Dirac场的强宇宙监督.为了实现这一点,我们首先使用保角变换技巧按摩狄拉克方程一对耦合方程在一个精心选择的正交基,并推导出准正规模式的强宇宙审查,这原来是独立的时空维度的破坏标准。然后,我们应用Crank-Nicolson方法在双零坐标下对Dirac方程进行演化,并用Prony方法从演化数据中提取出低阶准正规模。结果表明,对于所考虑的时空维$D=4, 5, 6$,虽然强宇宙监督被近极值黑洞中的中性Dirac场的扰动破坏,但当Dirac场的电荷增加到一个临界值以上时,强宇宙监督可以恢复.黑洞越接近极值极限,狄拉克场的临界荷越大。

英文摘要:

We investigate the strong cosmic censorship for the Dirac field in the higher dimensional Reissner-Norstrom--de Sitter black hole. To achieve this, we first use the conformal transformation trick to massage the Dirac equation to a pair of coupled equations in a meticulously chosen orthonormal basis and derive the criterion on the quasinormal modes for the violation of the strong cosmic censorship, which turns out to be independent of the spacetime dimension. Then we apply the Crank-Nicolson method to evolve our Dirac equation in the double null coordinates and extract the low-lying quasinormal modes from the evolution data by the Prony method. It is shown for the spacetime dimension $D=4, 5, 6$ under consideration that although the strong cosmic censorship is violated by the perturbation from the neutral Dirac field in the near-extremal black hole, the strong cosmic censorship can be restored when the charge of the Dirac field is increased beyond a critical value. The closer to the extremal limit the black hole is, the larger the critical charge of the Dirac field is.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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