We consider static black holes of D = 5, N = 2 gauged supergravity with gen
eral 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 p
romote 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 incid
entally also a solution of D = 5 N = 4 and N = 8 gauged supergravity, This
solution is specified by three charges, the asymptotic negative cosmologica
l constant (minimum of the potential) and a non-extremality parameter. Whil
e 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 ext
reme (non-supersymmetric) solution has zero Hawking temperature and finite
entropy. Analogous qualitative features are expected to emerge for black ho
le solutions in D = 4 gauged supergravity as well. (C) 1999 Elsevier Scienc
e B.V. All rights reserved.