The FGK formalism for black p-branes in d dimensions
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We present a generalization to an arbitrary number of spacetime (d) and world-volume (p + 1) dimensions of the formalism proposed by Ferrara, Gibbons and Kallosh to study black holes (p = 0) in d = 4 dimensions. We include the special cases in which there can be dyonic and self- or anti-self-dual black branes. Most of the results valid for 4-dimensional black holes (relations between temperature, entropy and non-extremality parameter, and between entropy and black-hole potential on the horizon) are straightforwardly generalized.
We apply the formalism to the case of black strings in N = 2, d = 5 supergravity coupled to vector multiplets, in which the black-string potential can be expressed in terms of the dual central charge and work out an explicit example with one vector multiplet, determining supersymmetric and non-supersymmetric attractors and constructing the nonextremal black-string solutions that interpolate between them.
Keywordsp-branes Black Holes in String Theory String Duality