Stable furry black holes in $\mathfrak{su}(\infty)$ anti-de Sitter Einstein-Yang-Mills theory, characterised by an infinitude of global charges - INSPIRE

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Stable furry black holes in $\mathfrak{su}(\infty)$ anti-de Sitter Einstein-Yang-Mills theory, characterised by an infinitude of global charges

J. Erik Baxter
(
- Sheffield Hallam U.
)

Feb 10, 2019

10 pages

e-Print:

1902.03686 [gr-qc]

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Abstract: (arXiv)

We present solutions to classical field equations for purely magnetic

\mathfrak{su}(\infty)

Einstein-Yang-Mills theory in asymptotically Anti-de Sitter space. These solutions are found to be stable under linear, time-dependent perturbations. Recent work has also shown that these solutions may in general be uniquely characterized by a countably infinite set of asymptotically measured, gauge-invariant charges. In light of this discovery, we revisit Bizon's `modified No-Hair conjecture', and suggest a new version that accommodates these solutions.

Note:

10 pages, 4 figures

perturbation: time dependence
field equations: classical
space: anti-de Sitter
invariance: gauge
Einstein-Yang-Mills theory
black hole: hair
stability
asymptotic behavior

References(14)

Figures(4)

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