Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2008-08-21
Class.Quant.Grav.25:245014,2008
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
38 pages, 8 figures, typos corrected, accepted for publication in Classical and Quantum Gravity
Scientific paper
10.1088/0264-9381/25/24/245014
We 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.
Baxter Eric J.
Winstanley Elizabeth
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