Squashed black holes at large $D$

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.

arXiv comment21 pages, an auxiliary Mathematica Notebook is attached; v2, typos fixed, published version;

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Cited by in corpus (2)

• Rotating black holes at large $D$ in Einstein-Gauss-Bonnet theory
• Classification of Robinson-Trautmann and Kundt Geometries with Large D Limit