First-order flows and stabilisation equations for non-BPS extremal black holes

Abstract

We derive a generalised form of flow equations for extremal static and rotating non-BPS black holes in four-dimensional ungauged N = 2 supergravity coupled to vector multiplets. For particular charge vectors, we give stabilisation equations for the scalars, analogous to the BPS case, describing full known solutions. Based on this, we propose a generic ansatz for the stabilisation equations, which surprisingly includes ratios of harmonic functions.

27 pages; v2: presentation improved and references added as in the published version

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Cited by in corpus (26)

• U-duality and non-BPS solutions
• Interacting non-BPS black holes
• Nernst branes in gauged supergravity
• Octonionic black holes
• Black holes and black strings of N=2, d=5 supergravity in the H-FGK formalism
• H-FGK formalism for black-hole solutions of N=2, d=4 and d=5 supergravity
• The Freudenthal gauge symmetry of the black holes of N=2,d=4 supergravity
• Ungauging black holes and hidden supercharges
• Non-Extremal Black Holes of N=2,d=5 Supergravity
• Duality covariant non-BPS first order systems
• First order flow for non-extremal AdS black holes and mass from holographic renormalization
• Two-Center Black Holes, Qubits and Elliptic Curves
• Rotating black holes, global symmetry and first order formalism
• Duality covariant multi-centre black hole systems
• Black holes and equivariant charge vectors in N=2,d=4 supergravity
• On anharmonic stabilisation equations for black holes
• Nilpotent orbits in real symmetric pairs and stationary black holes
• Black hole solutions of N=2, d=4 supergravity with a quantum correction, in the H-FGK formalism
• Black Holes and Fourfolds
• Imaginary Soaring Branes: A Hidden Feature of Non-Extremal Solutions
• Camouflaged Supersymmetry
• Stationary $D=4$ Black Holes in Supergravity: The Issue of Real Nilpotent Orbits
• Multi-Centered Black Hole Flows
• Black holes in supergravity: flow equations and duality
• Multi-Centered First Order Formalism
• On the Stability of Non-Supersymmetric Quantum Attractors in String Theory