On the global existence of hairy black holes and solitons in anti-de Sitter Einstein-Yang-Mills theories with compact semisimple gauge groups

ERIK, Baxter (2016). On the global existence of hairy black holes and solitons in anti-de Sitter Einstein-Yang-Mills theories with compact semisimple gauge groups. General Relativity and Gravitation, 48, p. 133.

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Official URL: http://link.springer.com/article/10.1007/s10714-01...
Link to published version:: https://doi.org/10.1007/s10714-016-2126-2
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    Abstract

    We investigate the existence of black hole and soliton solutions to four dimensional, anti-de Sitter (adS), Einstein-Yang-Mills theories with general semisimple connected and simply connected gauge groups, concentrating on the so-called 'regular case'. We here generalise results for the asymptotically flat case, and compare our system with similar results from the well researched adS su(N) system. We find the analysis differs from the asymptotically flat case in some important ways: the biggest difference is that for Λ < 0, solutions are much less constrained as r → ∞, making it possible to prove the existence of global solutions to the field equations in some neighbourhood of existing trivial solutions, and in the limit of |Λ| → ∞. In particular, we can identify non-trivial solutions where the gauge field functions have no zeroes, which in the su(N) case proved important to stability.

    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/10.1007/s10714-016-2126-2
    Page Range: p. 133
    Depositing User: Erik Baxter
    Date Deposited: 13 Sep 2016 09:00
    Last Modified: 26 Jun 2020 10:00
    URI: http://shura.shu.ac.uk/id/eprint/13141

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