On the stability of soliton and hairy black hole solutions of SU(N) Einstein-Yang-Mills theory with a negative cosmological constant

BAXTER, J. Erik and WINSTANLEY, E (2016). On the stability of soliton and hairy black hole solutions of SU(N) Einstein-Yang-Mills theory with a negative cosmological constant. Journal of Mathematical Physics, 57 (2), 022506.

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Official URL: http://scitation.aip.org/content/aip/journal/jmp/5...
Link to published version:: 10.1063/1.4940694

Abstract

We investigate the stability of spherically symmetric, purely magnetic, soliton and black hole solutions of four-dimensional su(N) Einstein-Yang-Mills theory with a negative cosmological constant Λ. These solutions are described by N − 1 magnetic gauge field functions ωj. We consider linear, spherically symmetric, perturbations of these solutions. The perturbations decouple into two sectors, known as the sphaleronic and gravitational sectors. For any N, there are no instabilities in the sphaleronic sector if all the magnetic gauge field functions ωj have no zeros and satisfy a set of N − 1 inequalities. In the gravitational sector, we prove that there are solutions which have no instabilities in a neighbourhood of stable embedded su(2) solutions, provided the magnitude of the cosmological constant |Λ| is sufficiently large. Kewywords : Stability, hairy black hole, soliton, Einstein-Yang-Mills, anti de-Sitter

Item Type: Article
Research Institute, Centre or Group: Materials and Engineering Research Institute > Materials Analysis and Research Services
Identification Number: 10.1063/1.4940694
Depositing User: Erik Baxter
Date Deposited: 19 Feb 2016 16:20
Last Modified: 20 Oct 2016 00:29
URI: http://shura.shu.ac.uk/id/eprint/11546

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