Location of Repository

We study the existence of soliton and black hole solutions of four-dimensional 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.\ud \u

Publisher: Institute of Physics

Year: 2008

OAI identifier:
oai:eprints.whiterose.ac.uk:10573

Provided by:
White Rose Research Online

Downloaded from
http://eprints.whiterose.ac.uk/10573/1/Maths_2.pdf

To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.