Evidence for the existence of a novel class of supersymmetric black holes with AdS$_5\times$S$^5$ asymptotics

TL;DR

This paper introduces a new class of supersymmetric black holes with AdS$_5\times$S$^5$ asymptotics, featuring rotation and scalar hair, extending known solutions and providing insights into their near-horizon behavior.

Contribution

The authors construct and uplift a novel class of charged, rotating hairy black holes in supergravity, extending the Gutowski-Reall solution and analyzing their extremal limits.

Findings

Existence of rotating hairy black holes close to supersymmetric bound

Finite curvature invariants at extremality despite diverging tidal forces

Supersymmetric solutions form a one-parameter extension of Gutowski-Reall

Abstract

We construct a new class of charged, rotating hairy black holes in a consistent truncation of $\mathcal{N} = 8$ supergravity, which retains one charged scalar field and a U$(1)$ gauge field. These hairy solutions can be uplifted to solutions of type IIB supergravity with AdS$_5\times$S$^5$ asymptotics. We find rotating hairy black holes with finite entropy arbitrarily close to the supersymmetric bound - the resulting supersymmetric solution is a one-parameter extension of the Gutowski-Reall solution. These solutions have finite curvature invariants (including at extremality), but in the extremal limit exhibit diverging tidal forces in the near horizon region. Nevertheless, we argue that these limiting supersymmetric black holes can be consistently studied within the supergravity approximation.