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arXiv 1702.05239gr-qcmath.DG
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小角动量Kerr-Newman-de Sitter黑洞的唯一性

Uniqueness of Kerr-Newman-de Sitter black holes with small angular momenta

Peter Hintz

摘要:

我们证明了Einstein-麦克斯韦方程组的一个接近于非退化Reissner-Nordström-de Sitter解的定态解实际上等于一个慢旋转的Kerr-Newman-de Sitter解.该证明使用了作者最近建立的Kerr-Newman-de Sitter族黑洞对于小角动量的非线性稳定性,以及Killing矢量场的扩展论点。我们的黑洞唯一性结果只要求解具有高但有限的正则性;特别地,我们不做任何解析性假设。

英文摘要:

We show that a stationary solution of the Einstein-Maxwell equations which is close to a non-degenerate Reissner-Nordström-de Sitter solution is in fact equal to a slowly rotating Kerr-Newman-de Sitter solution. The proof uses the non-linear stability of the Kerr-Newman-de Sitter family of black holes for small angular momenta, recently established by the author, together with an extension argument for Killing vector fields. Our black hole uniqueness result only requires the solution to have high but finite regularity; in particular, we do not make any analyticity assumptions.

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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