Einstein-Yang-Mills-Chern-Simons solutions in D = 2n + 1 dimensions

Brihaye, Yves and Radu, Eugen and Tchrakian, D. H. (2011) Einstein-Yang-Mills-Chern-Simons solutions in D = 2n + 1 dimensions. (Preprint)

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Abstract

We investigate finite energy solutions of the Einstein–Yang-Mills–Chern-Simons system in odd space-time dimensions, D = 2n + 1, with n > 1. Our configurations are static and spherically symmetric, approaching at infinity a Minkowski spacetime background. In contrast with the Abelian case, the contribution of the Chern-Simons term is nontrivial already in the static, spherically symmetric limit. Both globally regular, particle-like solutions and black holes are constructed numerically for several values of D. These solutions carry a nonzero electric charge and have finite mass. For globally regular solutions, the value of the electric charge is fixed by the Chern-Simons coupling constant. The black holes can be thought as non-linear superpositions of Reissner-Nordström and non-Abelian configurations. A systematic discussion of the solutions is given for D = 5, in which case the Reissner-Nordström black hole becomes unstable and develops non-Abelian hair. We show that some of these non-Abelian configurations are stable under linear, spherically symmetric perturbations. A detailed discussion of an exact D = 5 solution describing extremal black holes and solitons is also provided.

Item Type: Article
Divisions: School of Theoretical Physics > Preprints
Date Deposited: 19 Jun 2018 13:48
Last Modified: 13 Jul 2018 09:31
URI: http://dair.dias.ie/id/eprint/521

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