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High Energy Physics - Theory

arXiv:2111.04962 (hep-th)
[Submitted on 9 Nov 2021 (v1), last revised 29 Dec 2021 (this version, v2)]

Title:Squashed black holes at large $D$

Authors:Ryotaku Suzuki, Shinya Tomizawa
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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.
Comments: 21 pages, an auxiliary Mathematica Notebook is attached; v2, typos fixed, published version;
Subjects: High Energy Physics - Theory (hep-th); General Relativity and Quantum Cosmology (gr-qc)
Cite as: arXiv:2111.04962 [hep-th]
  (or arXiv:2111.04962v2 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.2111.04962
Journal reference: JHEP12(2021)194
Related DOI: https://doi.org/10.1007/JHEP12%282021%29194

Submission history

From: Ryotaku Suzuki [view email]
[v1] Tue, 9 Nov 2021 06:12:58 UTC (50 KB)
[v2] Wed, 29 Dec 2021 07:17:44 UTC (51 KB)
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