Topological charged black holes in high dimensional spacetimes and their formation from gravitational collapse of a type II fluid

Topological charged black holes coupled with a cosmological constant in R(2)xX(D-2) spacetimes are studied, where XD-2 is an Einstein space of the form R-(D-2)(AB)=k(D-3)h(AB). The global structure for the four-dimensional spacetimes with k=0 is investigated systematically. The most general solutions that represent a type II fluid in such a high dimensional spacetime are found and show that topological charged black holes can be formed from the gravitational collapse of such a fluid. When the spacetime is (asymptotically) self-similar, the collapse always forms black holes for k=0, -1, in contrast with the case k=1, where it can form either black holes or naked singularities.