The FGK formalism for black p-branes in d dimensions

Abstract

We present a generalization to an arbitrary number of spacetime (d) and worldvolume (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 non-extremal black-string solutions that interpolate between them.

28 pages no figures; v2: some references added

References in corpus (5)

• Non-extremal Black Holes, Harmonic Functions, and Attractor Equations
• Black holes and black strings of N=2, d=5 supergravity in the H-FGK formalism
• Instantons, black holes and harmonic functions
• All the timelike supersymmetric solutions of all ungauged d=4 supergravities
• A Simple Derivation of Supersymmetric Extremal Black Hole Attractors

Cited by in corpus (12)

• Black holes and black strings of N=2, d=5 supergravity in the H-FGK formalism
• Fake supersymmetry versus Hamilton-Jacobi
• Non-Abelian, supersymmetric black holes and strings in 5 dimensions
• Lifshitz-like solutions with hyperscaling violation in ungauged supergravity
• BPS Solutions of Six-Dimensional (1,0) Supergravity Coupled to Tensor Multiplets
• Non-Holomorphic Cycles and Non-BPS Black Branes
• Quantum black holes in Type-IIA String Theory
• Black hole solutions of N=2, d=4 supergravity with a quantum correction, in the H-FGK formalism
• Black Hole Entropy, Quantum Corrections and EFT Transitions
• Black holes in Sol minore
• On hvLif-like solutions in gauged Supergravity
• Non-extremal branes