Five-Dimensional Gauged Supergravity Black Holes with Independent Rotation Parameters

TL;DR

The paper advances five-dimensional gauged supergravity by constructing two families of non-extremal black holes with independent rotation parameters in the SO(6) theory with U(1)^3 charges. It provides explicit metrics, computes conserved charges, and analyzes thermodynamics via the first law, establishing the BPS conditions and exploring global structure. A notable result is the first regular supersymmetric black hole with two independent angular momenta, along with non-singular solitons in the same class, while a second class with one rotation and one charge yields BPS solutions that are naked time machines. Collectively, these findings significantly expand the landscape of supersymmetric and non-supersymmetric solutions in gauged supergravity and clarify the role of angular momentum independence in regularity properties.

Abstract

We construct new non-extremal rotating black hole solutions in SO(6) gauged five-dimensional supergravity. Our solutions are the first such examples in which the two rotation parameters are independently specifiable, rather than being set equal. The black holes carry charges for all three of the gauge fields in the U(1)^3 subgroup of SO(6), albeit with only one independent charge parameter. We discuss the BPS limits, showing in particular that these include the first examples of regular supersymmetric black holes with independent angular momenta in gauged supergravity. We also find non-singular BPS solitons. Finally, we obtain another independent class of new rotating non-extremal black hole solutions with just one non-vanishing rotation parameter, and one non-vanishing charge.