Monopoles, dyons, and black holes in the four-dimensional Einstein-Yang-Mills theory

Abstract

A continuum of monopole, dyon and black hole solutions exist in the EinsteinYang-Mills theory in asymptotically anti-de Sitter space. Their structure is studied in detail. The solutions are classified by non-Abelian electric and magnetic charges and the ADM mass. The stability of the solutions which have no node in nonAbelian magnetic fields is established. There exist critical spacetime solutions which terminate at a finite radius, and have universal behavior. The moduli space of the solutions exhibits a fractal structure as the cosmological constant approaches zero.

New hairy black holes with negative cosmological constant

“…This behavior is drastically different from those observed for EYM black holes in asymptotically flat [21] or de Sitter spacetime [22]. Their regular conterparts are discussed in [20,23] and present also interesting properties.…”

“…This behavior is drastically different from those observed for EYM black holes in asymptotically flat [21] or de Sitter spacetime [22]. Their regular conterparts are discussed in [20,23] and present also interesting properties.In this letter we show numerically that, in the EYM system, the topology of the event horizon is not restricted to the spherically symmetric case. The family of black hole solutions considered in [19,20] is extended to geometries with locally flat and hyperbolic horizons.…”

“…The family of black hole solutions considered in [19,20] is extended to geometries with locally flat and hyperbolic horizons.…”

“…It may be of interest to generalize these solutions for a nonabelian matter content. Here we restrict attention to SU (2) Einstein-Yang-Mills (EYM) theory and investigate black hole solutions with locally flat or hyperbolic horizons, which asymptotically approach a locally AdS spacetime.The case of a spherically symmetric horizon has been discussed in [19,20] with some surprising results. For example, there are finite energy solutions for several intervals of the shooting parameter (the value of gauge function at event horizon), rather than discrete values.…”

“…However, nontrivial solutions exist also for a nonvanishing electric part (see [20] for a discussion of black hole dyon solutions in the k = 1 case). The existence of dyon solutions without a Higgs field is a new feature for AdS spacetime; if Λ ≥ 0 the electric part of the gauge fields is forbidden [20,25].For static configurations, it is convenient to take the ν = 0 gauge and eliminateω by using a residual gauge freedom. The remaining function ω depends only on the coordinate r.…”