2006/04/30 by G. W. Gibbons, G W Gibbons, P. K. Townsend +1 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Cosmological constant #Cosmology and Gravitation Theories #De Sitter universe #Degenerate energy levels #Event horizon #Gauge (firearms) #Horizon #Magnetic monopole #Minkowski space #Noncommutative and Quantum Gravity Theories #Spacetime #hep-th
paper · pdf · doi:10.1088/0264-9381/23/15/007
published as Class.Quant.Grav.23:4873-4886,2006 · 16 pp. Extensive revision to include case of non-zero cosmological constant and implications for adS/CFT. Numerous additional references
arxiv created 2006/06/03 · openalex publication_date 2006/07/07 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06
The (2 k + 2)-dimensional Einstein–Yang–Mills equations for gauge group SO (2 k ) (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 Λ, 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 Λ = 0 and anti-de Sitter for Λ < 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 × S 2 k vacuum.