H-FGK formalism for black-hole solutions of N=2, d=4 and d=5 supergravity
arXiv:1112.3332 · doi:10.1016/j.physletb.2012.02.018
Abstract
We rewrite the Ferrara-Gibbons-Kallosh (FGK) black-hole effective action of N=2, d=4,5 supergravities coupled to vector multiplets, replacing the metric warp factor and the physical scalars with real variables that transform in the same way as the charges under duality transformations, which simplifies the equations of motion. For a given model, the form of the solution in these variables is the same for all spherically symmetric black holes, regardless of supersymmetry or extremality.
10 pages; v2: references added, some editing of the text, results unchanged; v3: references added as in the published version
References in corpus (15)
- Flow equations and attractors for black holes in N = 2 U(1) gauged supergravity
- The supersymmetric configurations of N=2, d=4 supergravity coupled to vector supermultiplets
- Characterization of all the supersymmetric solutions of gauged N=1,d=5 supergravity
- First-order flow equations for extremal and non-extremal black holes
- Non-extremal black holes of N=2, d=4 supergravity
- d=4 Black Hole Attractors in N=2 Supergravity with Fayet-Iliopoulos Terms
- Supersymmetric solutions of N=2 d=4 sugra: the whole ungauged shebang
- Supersymmetric N=2 Einstein-Yang-Mills monopoles and covariant attractors
- Supersymmetry, attractors and cosmic censorship
- Non-extremal Black Holes, Harmonic Functions, and Attractor Equations
- On five-dimensional non-extremal charged black holes and FRW cosmology
- First-order flows and stabilisation equations for non-BPS extremal black holes
- Instantons, black holes and harmonic functions
- Non-Extremal Black Holes of N=2,d=5 Supergravity
- The FGK formalism for black p-branes in d dimensions
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- Nonextremal black holes in gauged supergravity and the real formulation of special geometry
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- The Freudenthal gauge symmetry of the black holes of N=2,d=4 supergravity
- On scalar charges and black-hole thermodynamics
- N=2 Einstein-Yang-Mills' static two-center solutions
- Lifshitz-like solutions with hyperscaling violation in ungauged supergravity
- Komar integral and Smarr formula for axion-dilaton black holes versus S duality
- The FGK formalism for black p-branes in d dimensions
- N=2 Super-EYM coloured black holes from defective Lax matrices
- Dyonic black holes at arbitrary locations
- Phases of non-extremal multi-centered bound states
- Quantum black holes in Type-IIA String Theory
- Black holes and equivariant charge vectors in N=2,d=4 supergravity
- Non-extremal black hole solutions from the c-map
- On anharmonic stabilisation equations for black holes
- Black hole solutions of N=2, d=4 supergravity with a quantum correction, in the H-FGK formalism
- Non-extremal black holes from the generalised r-map
- The supersymmetric black holes of N=8 supergravity
- Non-perturbative black holes in Type-IIA String Theory vs. the No-Hair conjecture
- Freudenthal duality of near-extremal black holes and Jackiw-Teitelboim gravity
- The violation of the No-Hair Conjecture in four-dimensional ungauged Supergravity
- On hvLif-like solutions in gauged Supergravity
- New supersymmetric black holes in four dimensional N=2 supergravity
- Topological solutions in ungauged Supergravity
- Regular 3-charge 4D black holes and their microscopic description