The Einstein-Yang-Mills anti-de Sitter menagerie

Event type
Event date
Venue
GAP room
Speaker
Elizabeth Winstanley (Sheffield U.)

Abstract: Spherically symmetric black hole solutions of Einstein-Yang-Mills (EYM) theory have been studied for 25 years.  In the past 15 years there has been a particular focus on EYM black holes in anti-de Sitter space (adS) since, unlike the situation in asymptotically flat space, in adS stable hairy EYM black holes exist. We will outline some of the menagerie of EYM adS solutions which have emerged over the past 15 years, restricting our attention to static, non-rotating solutions for simplicity.  We discuss purely magnetic solutions, dyonic solutions, spherically symmetric black holes and topological black holes.  For most of the talk the gauge field will be massless, but we also briefly describe how including a gauge field mass changes the picture.  Finally, we will attempt to make sense of the EYM adS menagerie in terms of Bizon's modified no-hair conjecture.