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

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dc.creatorBaxter, J. E.
dc.creatorWinstanley, Elizabeth
dc.date2008-08-21
dc.date2008-10-30
dc.date.accessioned2026-07-07T12:15:18Z
dc.date.available2026-07-07T12:15:18Z
dc.descriptionWe study the existence of soliton and black hole solutions of four-dimensional su(N) Einstein-Yang-Mills theory with a negative cosmological constant. We prove the existence of non-trivial solutions for any integer N, with N-1 gauge field degrees of freedom. In particular, we prove the existence of solutions in which all the gauge field functions have no zeros. For fixed values of the parameters (at the origin or event horizon, as applicable) defining the soliton or black hole solutions, if the magnitude of the cosmological constant is sufficiently large, then the gauge field functions all have no zeros. These latter solutions are of special interest because at least some of them will be linearly stable.
dc.description38 pages, 8 figures, typos corrected, accepted for publication in Classical and Quantum Gravity
dc.identifierhttps://arxiv.org/abs/0808.2977
dc.identifierhttp://arxiv.org/abs/0808.2977
dc.identifierClass.Quant.Grav.25:245014,2008
dc.identifierdoi:10.1088/0264-9381/25/24/245014
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/211461
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.titleOn the existence of soliton and hairy black hole solutions of su(N) Einstein-Yang-Mills theory with a negative cosmological constant
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