Squashed black holes at large $D$
High Energy Physics - Theory
2021-12-30 v2 General Relativity and Quantum Cosmology
Abstract
Using the large 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 expansion. Particularly, our work demonstrates that the large 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.
Cite
@article{arxiv.2111.04962,
title = {Squashed black holes at large $D$},
author = {Ryotaku Suzuki and Shinya Tomizawa},
journal= {arXiv preprint arXiv:2111.04962},
year = {2021}
}
Comments
21 pages, an auxiliary Mathematica Notebook is attached; v2, typos fixed, published version;