Non-extreme black holes of five-dimensional N = 2 AdS supergravity Original Research Article

We consider static black holes of D = 5, N = 2 gauged supergravity with general spatial curvature k and show that the modifications due to the gauging as well as k enter only the non-extremality function. Therefore, one can promote any (known) black hole solution of ungauged supergravity with k = +1 to a solution of gauged supergravity with an arbitrary k. As an example we discuss a solution for the STU model of gauged supergravity which is incidentally also a solution of D = 5 N = 4 and N = 8 gauged supergravity. This solution is specified by three charges, the asymptotic negative cosmological constant (minimum of the potential) and a non-extremality parameter. While its BPS-saturated limit has a naked singularity, we find a lower bound on the non-extremality parameter (or equivalently on the ADM mass) for which the non-extreme solutions are regular. When this bound is saturated the extreme (non-supersymmetric) solution has zero Hawking temperature and finite entropy. Analogous qualitative features are expected to emerge for black hole solutions in D = 4 gauged supergravity as well.