Self-gravitating Yang Monopoles in all Dimensions

Abstract

The (2k+2)-dimensional Einstein-Yang-Mills equations for gauge group SO(2k) (or SU(2) for k=2 and SU(3) for k=3) are shown to admit a family of spherically-symmetric magnetic monopole solutions, for both zero and non-zero cosmological constant Lambda, characterized by a mass m and a magnetic-type charge. The k=1 case is the Reissner-Nordstrom black hole. The k=2 case yields a family of self-gravitating Yang monopoles. The asymptotic spacetime is Minkowski for Lambda=0 and anti-de Sitter for Lambda<0, but the total energy is infinite for k>1. In all cases, there is an event horizon when m>m_c, for some critical mass $m_c$, which is negative for k>1. The horizon is degenerate when m=m_c, and the near-horizon solution is then an adS_2 x S^{2k} vacuum.

16 pp. Extensive revision to include case of non-zero cosmological constant and implications for adS/CFT. Numerous additional references

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Cited by in corpus (21)

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• Einstein-Yang-Mills solutions in higher dimensional de Sitter spacetime
• SQM with Non-Abelian Self-Dual Fields: Harmonic Superspace Description
• Tunneling between de Sitter and anti de Sitter black holes in a noncommutative D3-brane formalism
• Open M5-branes
• N-Dimensional non-abelian dilatonic, stable black holes and their Born-Infeld extension
• Self-dual Gravitational Instantons in Conformal Gravity: Conserved Charges and Thermodynamics
• Black hole solutions in Chern-Simons AdS supergravity
• Static and radiating dyonic black holes coupled to conformally invariant electrodynamics in higher dimensions
• Generalized Nariai Solutions for Yang-type Monopoles
• Non-Abelian Black Holes in D=5 Maximal Gauged Supergravity
• Colored black holes and Kac-Moody algebra
• New AdS solitons and brane worlds with compact extra-dimensions
• Magnetic and Electric Black Holes in Arbitrary Dimension
• Orientifolded Matrices and Supersymmetries that Give Rise to Spacetime Directional Asymmetry of Effective Interactions
• Six-Dimensional Yang Black Holes in Dilaton Gravity
• $D=10$ dyonic black holes in string inspired models
• Finite mass gravitating Yang monopoles
• The Yang Monopole in IIA Superstring: Multi-charge Disease and Enhancon Cure