Squashed black holes at large D
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Abstract Using the large D effective theory approach, we construct a static solution of non-extremal and squashed black holes with/without an electric charge, which describes a spherical black hole in a Kaluza-Klein spacetime with a compactified dimension. The asymptotic background with a compactified dimension and near-horizon geometry are analytically solved by the 1/D expansion. Particularly, our work demonstrates that the large D limit can be applied to solve the non-trivial background with a compactified direction, which leads to a first-order flow equation. Moreover, we show that the extremal limit consistently reproduces the known extremal result.
2017 ◽
Vol 26
(04)
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pp. 1750036
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2011 ◽
Vol 26
(22)
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pp. 1601-1611
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2014 ◽
Vol 32
(1)
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pp. 015005
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2008 ◽
Vol 23
(40)
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pp. 3377-3392
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2009 ◽
Vol 121
(4)
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pp. 823-841
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