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.
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Suzuki, R., Tomizawa, S. Squashed black holes at large D. J. High Energ. Phys. 2021, 194 (2021). https://doi.org/10.1007/JHEP12(2021)194
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DOI: https://doi.org/10.1007/JHEP12(2021)194