Five-dimensional gauged supergravity black holes with independent rotation parameters

We construct new nonextremal 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 that these include the first examples of regular supersymmetric black holes with independent angular momenta in gauged supergravity. We also find nonsingular BPS solitons. Finally, we obtain another independent class of new rotating nonextremal black hole solutions with just one nonvanishing rotation parameter, and one nonvanishing charge