BAXTER, Erik (2014). On the existence of topological hairy black holes in SU(N) EYM theory with a negative cosmological constant. General Relativity and Gravitation, 47 (1), p. 1829.
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Abstract
We investigate the existence of black hole solutions of four dimensional su(N) EYM theory with a negative cosmological constant. Our analysis differs from previous works in that we generalise the field equations to certain non-spherically symmetric spacetimes. We prove the existence of non-trivial solutions for any integer N, with N−1 gauge degrees of freedom. Specifically, we prove two results: existence of solutions for fixed values of the initial parameters and as |Λ|→∞, and existence of solutions for any Λ<0 in some neighbourhood of existing trivial solutions. In both cases we can prove the existence of `nodeless' solutions, i.e. such that all gauge field functions have no zeroes; this fact is of interest as we anticipate that some of them may be stable.
Item Type: | Article |
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Research Institute, Centre or Group - Does NOT include content added after October 2018: | Materials and Engineering Research Institute > Materials Analysis and Research Services |
Identification Number: | https://doi.org/10.1007/s10714-014-1829-5 |
Page Range: | p. 1829 |
Depositing User: | Erik Baxter |
Date Deposited: | 19 Jan 2016 10:01 |
Last Modified: | 18 Mar 2021 07:49 |
URI: | https://shura.shu.ac.uk/id/eprint/11459 |
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