Squashed, magnetized black holes in $D=5$ minimal gauged supergravity

TL;DR

This paper constructs new five-dimensional black hole solutions in Einstein-Maxwell-Chern-Simons theory with a negative cosmological constant, revealing novel extremal and non-extremal configurations, including supersymmetric solutions and particle-like solitons.

Contribution

It introduces a new class of cohomogeneity-1 black holes with magnetic potential and squashed sphere boundary, including extremal, non-extremal, and supersymmetric solutions, expanding the landscape of known solutions.

Findings

Existence of non-extremal black holes with non-vanishing magnetic potential at infinity.

Discovery of a one-parameter family of supersymmetric extremal black holes bifurcating from known solutions.

Non-extremal solutions can become particle-like solitons in certain parameter limits.

Abstract

We construct a new class of black hole solutions in five-dimensional Einstein-Maxwell-Chern-Simons theory with a negative cosmological constant. These configurations are cohomogeneity-1, with two equal-magnitude angular momenta. In the generic case, they possess a non-vanishing magnetic potential at infinity with a boundary metric which is the product of time and a squashed three-dimensional sphere. Both extremal and non-extremal black holes are studied. The non-extremal black holes satisfying a certain relation between electric charge, angular momenta and magnitude of the magnetic potential at infinity do not trivialize in the limit of vanishing event horizon size, becoming particle-like (non-topological) solitonic configurations. Among the extremal black holes, we show the existence of a new one-parameter family of supersymmetric solutions, which bifurcate from a critical Gutowski-Reall configuration.