On attractor mechanism and entropy function for non-extremal black holes/branes

Abstract

We examine in details the entropy function formalism for non-extremal D3, M2, and M5-branes that their throat approximation is given by Schwarzschild black hole in AdSp+2 × SD-(p+2). We show that even though there is no attractor mechanism in the non-extremal black holes/branes, the entropy function formalism does work and the entropy is given by the entropy function at its saddle point. © SISSA 2007.