Five-dimensional black hole and particle solution with nonAbelian gauge field
Dec, 2002Citations per year
Abstract: (arXiv)
We study the 5-dimensional Einstein-Yang-Mills system with a cosmological constant. Assuming a spherically symmetric spacetime, we find a new analytic black hole solution, which approaches asymptotically quasi-Minkowski, quasi anti-de Sitter, or quasi de Sitter spacetime depending on the sign of a cosmological constant. Since there is no singularity except for the origin which is covered by an event horizon, we regard it as a localized object. This solution corresponds to a magnetically charged black hole. We also present a singularity-free particle-like solution and a non-trivial black hole solution numerically. Those solutions correspond to the Bartnik-McKinnon solution and a colored black hole with a cosmological constant in the 4-dimensions. We analyze their asymptotic behaviors, spacetime structures and thermodynamical properties. We show that there is a set of stable solutions if a cosmological constant is negative.- 04.70.Bw
- 04.50.+h
- black hole
- dimension: 5
- gauge field theory: SU(2)
- space-time
- symmetry: sphere
- asymptotic behavior
- thermodynamics
- stability
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