Near-horizon symmetries of extremal black holes
Near-horizon symmetries of extremal black holes
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DOI：
10.1088/0264-9381/24/16/012
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发表时间：
2007-05
影响因子：
3.5
通讯作者：
Hari K. Kunduri;James Lucietti;H. Reall
中科院分区：
文献类型：
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作者：
Hari K. Kunduri;James Lucietti;H. Reall
最近的工作证明了极端旋转黑洞的吸引子机制，该机制符合近视界SO（2,1）对称的假设。我们证明了这种对称性的存在，任何极端黑洞具有相同数量的旋转对称性，如已知的四维和五维解（包括黑环）。该结果适用于与阿贝尔矢量和不带电标量耦合的一般二阶引力理论，允许非平凡标量势。我们证明了它在存在高导数修正的情况下仍然有效。我们证明了SO（2,1）对称近视界解可以解析连续给出SU(2)对称黑洞解。例如，极值5D迈尔斯-佩里黑洞的近视界极限通过解析延拓与非极值齐次-1迈尔斯-佩里解相关。
Recent work has demonstrated an attractor mechanism for extremal rotating black holes subject to the assumption of a near-horizon SO(2, 1) symmetry. We prove the existence of this symmetry for any extremal black hole with the same number of rotational symmetries as known four- and five-dimensional solutions (including black rings). The result is valid for a general two-derivative theory of gravity coupled to Abelian vectors and uncharged scalars, allowing for a non-trivial scalar potential. We prove that it remains valid in the presence of higher-derivative corrections. We show that SO(2, 1)-symmetric near-horizon solutions can be analytically continued to give SU(2)-symmetric black hole solutions. For example, the near-horizon limit of an extremal 5D Myers–Perry black hole is related by analytic continuation to a non-extremal cohomogeneity-1 Myers–Perry solution.