Nonextremal black holes in gauged supergravity and the real formulation of special geometry

We give a rather general recipe for constructing nonextremal black hole solutions to \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ \mathcal{N}=2 $\end{document}, D = 4 gauged supergravity coupled to abelian vector multiplets. This problem simplifies considerably if one uses the formalism developed in [1], based on dimensional reduction and the real formulation of special geometry. We use this to find new nonextremal black holes for several choices of the prepotential, that generalize the BPS solutions found in [2]. Some physical properties of these black holes are also discussed.