Topological black holes in su(N) Einstein–Yang–Mills theory with a negative cosmological constant
We investigate the phase space of topological black hole solutions of su(N) Einstein–Yang–Mills theory in anti-de Sitter space with a purely magnetic gauge potential. The gauge field is described by N−1 magnetic gauge field functions ωj, j=1,…,N−1. For su(2) gauge group, the function ω1 has no zeros...
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| Format: | Article |
| Language: | English |
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Elsevier
2016-02-01
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| Series: | Physics Letters B |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269315009715 |
| _version_ | 1818556862913576960 |
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| author | J. Erik Baxter Elizabeth Winstanley |
| author_facet | J. Erik Baxter Elizabeth Winstanley |
| author_sort | J. Erik Baxter |
| collection | DOAJ |
| description | We investigate the phase space of topological black hole solutions of su(N) Einstein–Yang–Mills theory in anti-de Sitter space with a purely magnetic gauge potential. The gauge field is described by N−1 magnetic gauge field functions ωj, j=1,…,N−1. For su(2) gauge group, the function ω1 has no zeros. This is no longer the case when we consider a larger gauge group. The phase space of topological black holes is considerably simpler than for the corresponding spherically symmetric black holes, but for N>2 and a flat event horizon, there exist solutions where at least one of the ωj functions has one or more zeros. For most of the solutions, all the ωj functions have no zeros, and at least some of these are linearly stable. |
| first_indexed | 2024-12-13T23:52:42Z |
| format | Article |
| id | doaj.art-b56e22cf6e1946b18e5efc0a3b710384 |
| institution | Directory Open Access Journal |
| issn | 0370-2693 1873-2445 |
| language | English |
| last_indexed | 2024-12-13T23:52:42Z |
| publishDate | 2016-02-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-b56e22cf6e1946b18e5efc0a3b7103842022-12-21T23:26:43ZengElsevierPhysics Letters B0370-26931873-24452016-02-01753C26827310.1016/j.physletb.2015.12.023Topological black holes in su(N) Einstein–Yang–Mills theory with a negative cosmological constantJ. Erik Baxter0Elizabeth Winstanley1Norfolk Building, Sheffield Hallam University, 1 Howard Street, Sheffield, S1 1WB, United KingdomConsortium for Fundamental Physics, School of Mathematics and Statistics, The University of Sheffield, Hicks Building, Hounsfield Road, Sheffield, S3 7RH, United KingdomWe investigate the phase space of topological black hole solutions of su(N) Einstein–Yang–Mills theory in anti-de Sitter space with a purely magnetic gauge potential. The gauge field is described by N−1 magnetic gauge field functions ωj, j=1,…,N−1. For su(2) gauge group, the function ω1 has no zeros. This is no longer the case when we consider a larger gauge group. The phase space of topological black holes is considerably simpler than for the corresponding spherically symmetric black holes, but for N>2 and a flat event horizon, there exist solutions where at least one of the ωj functions has one or more zeros. For most of the solutions, all the ωj functions have no zeros, and at least some of these are linearly stable.http://www.sciencedirect.com/science/article/pii/S0370269315009715Topological black holesEinstein–Yang–Mills theory |
| spellingShingle | J. Erik Baxter Elizabeth Winstanley Topological black holes in su(N) Einstein–Yang–Mills theory with a negative cosmological constant Physics Letters B Topological black holes Einstein–Yang–Mills theory |
| title | Topological black holes in su(N) Einstein–Yang–Mills theory with a negative cosmological constant |
| title_full | Topological black holes in su(N) Einstein–Yang–Mills theory with a negative cosmological constant |
| title_fullStr | Topological black holes in su(N) Einstein–Yang–Mills theory with a negative cosmological constant |
| title_full_unstemmed | Topological black holes in su(N) Einstein–Yang–Mills theory with a negative cosmological constant |
| title_short | Topological black holes in su(N) Einstein–Yang–Mills theory with a negative cosmological constant |
| title_sort | topological black holes in su n einstein yang mills theory with a negative cosmological constant |
| topic | Topological black holes Einstein–Yang–Mills theory |
| url | http://www.sciencedirect.com/science/article/pii/S0370269315009715 |
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