Hairy black holes and solitons in global AdS5

Abstract

A bstract We use a mix of analytic and numerical methods to exhaustively study a class of asymptotically global AdS solitons and hairy black hole solutions in negative cosmological constant Einstein Maxwell gravity coupled to a charged massless scalar field. Our results depend sensitively on the charge e of the scalar field. The solitonic branch of solutions we study hits the Chandrashekhar limit at finite mass at small e , but extends to arbitrarily large mass at larger e . At low values of e no hairy black holes exist. At intermediate values of e hairy black holes exist above a critical charge. At large e hairy black holes exist at all values of the charge. The lowest mass hairy black hole is a smooth zero entropy soliton at small charge, but a (probably) singular nonzero entropy hairy black hole at larger charge. In a phase diagram of solutions, the hairy black holes merge with the familiar Reissner-Nordström−AdS black holes along a curve that is determined by the onset of the superradiant instability in the latter family.