Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1998-10-28
Nucl.Phys.B553:317-332,1999
Physics
High Energy Physics
High Energy Physics - Theory
16 pages ; references added, minor changes
Scientific paper
10.1016/S0550-3213(99)00243-6
We derive and analyse the full set of equations of motion for non-extreme static black holes (including examples with the spatial curvatures k=-1 and k=0) in D=5 N=2 gauged supergravity by employing the techniques of "very special geometry". These solutions turn out to differ from those in the ungauged supergravity only in the non-extremality function, which has an additional term (proportional to the gauge coupling g), responsible for the appearance of naked singularities in the BPS-saturated limit. We derive an explicit 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.
Behrndt Klaus
Cvetic Mirjam
Sabra Wafic. A.
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