# Dyonic black holes in $\mathfrak{su}(\infty)$ anti-de Sitter Einstein–Yang–Mills theory, characterised by an infinite set of global charges

BAXTER, Erik (2019). Dyonic black holes in $\mathfrak{su}(\infty)$ anti-de Sitter Einstein–Yang–Mills theory, characterised by an infinite set of global charges. Classical and Quantum Gravity, 36 (18), p. 185014.

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Official URL: http://dx.doi.org/10.1088/1361-6382/ab310e
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## Abstract

We here derive field equations for static, spherically symmetric, dyonic Einstein–Yang–Mills theory with a negative cosmological constant . We are able to find new non-trivial black hole solutions to this system in two regimes: where the gauge fields are small; and where . We also show that some may be uniquely characterised by a countably infinite set of asymptotically-defined charges. This may have implications for Bizon's modified 'No Hair' conjecture.

Item Type: Article 38 pages, 4 figures gr-qc; gr-qc; 02 Physical Sciences; 01 Mathematical Sciences; Nuclear & Particles Physics https://doi.org/10.1088/1361-6382/ab310e p. 185014 Symplectic Elements Symplectic Elements 17 Sep 2019 13:18 18 Mar 2021 03:34 https://shura.shu.ac.uk/id/eprint/25134