On the stability of dyons and dyonic black holes in Einstein–Yang–Mills theory - INSPIRE

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On the stability of dyons and dyonic black holes in Einstein–Yang–Mills theory

Brien C. Nolan
(
- Dublin City U.
)
,
Elizabeth Winstanley
(
- Sheffield U.
)

Jul 31, 2015

30 pages

Published in:

Class.Quant.Grav. 33 (2016) 4, 045003

Published: Jan 21, 2016

e-Print:

1507.08915 [gr-qc]

DOI:

10.1088/0264-9381/33/4/045003

View in:

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Abstract: (IOP)

We investigate the stability of four-dimensional dyonic soliton and black hole solutions of

{\mathfrak{su}}(2)

Einstein–Yang–Mills theory in anti-de Sitter space. We prove that, in a neighbourhood of the embedded trivial (Schwarzschild–)anti-de Sitter solution, there exist non-trivial dyonic soliton and black hole solutions of the field equations which are stable under linear, spherically symmetric, perturbations of the metric and non-Abelian gauge field.

Note:

27 pages, 6 figures, minor changes, matches version published in Classical and Quantum Gravity

04.40.Nr
04.70.Bw
hairy black holes
Einstein–Yang–Mills
black hole stability
black hole: dyon
field equations: solution
gauge field theory: nonabelian
space: anti-de Sitter
metric: perturbation

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Figures(6)

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