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.

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

References in corpus (6)

• Charged Rotating Kaluza-Klein Black Holes in Five Dimensions
• Charged Black Holes in a Rotating Gross-Perry-Sorkin Monopole Background
• Squashed Kerr-Godel Black Holes - Kaluza-Klein Black Holes with Rotations of Black Hole and Universe -
• Einstein-Gauss-Bonnet Black Strings at Large $D$
• On Brane Instabilities in the Large $D$ Limit
• Mass and Free energy in Thermodynamics of Squashed Kaluza-Klein Black Holes