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:: https://doi.org/10.1063/1.4940694
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    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 - Does NOT include content added after October 2018: Materials and Engineering Research Institute > Materials Analysis and Research Services
    Identification Number: https://doi.org/10.1063/1.4940694
    Page Range: 022506
    Depositing User: Erik Baxter
    Date Deposited: 19 Feb 2016 16:20
    Last Modified: 26 Jan 2018 17:37
    URI: http://shura.shu.ac.uk/id/eprint/11546

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