H-FGK formalism for black-hole solutions of N=2, d=4 and d=5 supergravity

2011/12/31 by Patrick Meessen, Tomás Ortı́n, Tomas Ortin +2 · 36 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Formalism (music) #Mathematical physics #Metric (unit) #Noncommutative and Quantum Gravity Theories #Particle physics #Philosophy #Physics #Scroll #Supersymmetry #Theology #gr-qc #hep-th

paper · pdf · doi:10.1016/j.physletb.2012.02.018

published in Physics Letters B 709(3), 260-265 (Elsevier BV) · 10 pages; v2: references added, some editing of the text, results unchanged; v3: references added as in the published version

openalex publication_date 2012/02/10 · arxiv created 2012/03/09 · arxiv updated 2012/03/14 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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.

Citations

• Supersymmetric solutions of N=2, D=4 SUGRA: The whole ungauged shebang
• Black Hole Entropy, Special Geometry and Strings
• Instantons, black holes, and harmonic functions
• First-order flow equations for extremal and non-extremal black holes
• Microscopic Origin of the Bekenstein-Hawking Entropy
• Characterization of all the supersymmetric solutions of gaugedN= 1,D= 5 supergravity

Cited by

• Topological solutions in ungauged supergravity