Static axially symmetric solutions of Einstein-Yang-Mills equations with a negative cosmological constant: Black hole solutions

Journal Article · Fri Oct 15 04:00:00 EDT 2004 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.70.084023· OSTI ID:20705493

Radu, Eugen ^[1]; Winstanley, Elizabeth ^[2]

---

1. Department of Mathematical Physics, National University of Ireland, Maynooth (Ireland)
2. Department of Applied Mathematics, University of Sheffield, Hicks Building, Hounsfield Road, Sheffield, S3 7RH (United Kingdom)

We investigate static axially symmetric black hole solutions in a four-dimensional Einstein-Yang-Mills-SU(2) theory with a negative cosmological constant {lambda}. These solutions approach asymptotically the anti-de Sitter spacetime and possess a regular event horizon. A discussion of the main properties of the solutions and the differences with respect to the asymptotically flat case is presented. The mass of these configurations is computed by using a counterterm method. We note that the {lambda}=-3 configurations have a higher dimensional interpretation in context of d=11 supergravity. The existence of axially symmetric monopole and dyon solutions in a fixed Schwarzschild-anti-de Sitter background is also discussed. An exact solution of the Einstein-Yang-Mills equations is presented in the appendix.

• OSTI ID: 20705493
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 8 Vol. 70; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AXIAL SYMMETRY
BLACK HOLES
COSMOLOGICAL CONSTANT
COSMOLOGY
DE SITTER GROUP
DYONS
EINSTEIN FIELD EQUATIONS
EXACT SOLUTIONS
QUANTUM FIELD THEORY
SCHWARZSCHILD METRIC
SPACE-TIME
SU-2 GROUPS
SUPERGRAVITY
YANG-MILLS THEORY