Squashed black holes at large D

A bstract 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 compactif...

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Bibliographic Details
Published in:The journal of high energy physics 2021-12, Vol.2021 (12), p.1-20, Article 194
Main Authors: Suzuki, Ryotaku, Tomizawa, Shinya
Format: Article
Language:English
Subjects:
Black Holes
Classical and Quantum Gravitation
Classical Theories of Gravity
Elementary Particles
Flow equations
Geometry
High energy physics
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Spacetime
String Theory
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Summary:A bstract 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.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP12(2021)194