Supersymmetric black holes with a single axial symmetry in five dimensions

Fuente: arXiv
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Autores principales: Katona, David, Lucietti, James
Formato: Preprint
Publicado: 2022
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author Katona, David
Lucietti, James
author_facet Katona, David
Lucietti, James
contents We present a classification of asymptotically flat, supersymmetric black hole and soliton solutions of five-dimensional minimal supergravity that admit a single axial symmetry which `commutes' with the supersymmetry. This includes the first examples of five-dimensional black hole solutions with exactly one axial Killing field that are smooth on and outside the horizon. The solutions have similar properties to the previously studied class with biaxial symmetry, in particular, they have a Gibbons-Hawking base and the harmonic functions must be of multi-centred type with the centres corresponding to the connected components of the horizon or fixed points of the axial symmetry. We find a large moduli space of black hole and soliton spacetimes with non-contractible 2-cycles and the horizon topologies are $S^3$, $S^1\times S^2$ and lens spaces $L(p,1)$.
format Preprint
id arxiv_https___arxiv_org_abs_2206_11782
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Supersymmetric black holes with a single axial symmetry in five dimensions
Katona, David
Lucietti, James
High Energy Physics - Theory
General Relativity and Quantum Cosmology
We present a classification of asymptotically flat, supersymmetric black hole and soliton solutions of five-dimensional minimal supergravity that admit a single axial symmetry which `commutes' with the supersymmetry. This includes the first examples of five-dimensional black hole solutions with exactly one axial Killing field that are smooth on and outside the horizon. The solutions have similar properties to the previously studied class with biaxial symmetry, in particular, they have a Gibbons-Hawking base and the harmonic functions must be of multi-centred type with the centres corresponding to the connected components of the horizon or fixed points of the axial symmetry. We find a large moduli space of black hole and soliton spacetimes with non-contractible 2-cycles and the horizon topologies are $S^3$, $S^1\times S^2$ and lens spaces $L(p,1)$.
title Supersymmetric black holes with a single axial symmetry in five dimensions
topic High Energy Physics - Theory
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2206.11782