Black holes and black strings of N=2, d=5 supergravity in the H-FGK formalism

Abstract

We study general classes and properties of extremal and non-extremal static black-hole solutions of N=2, d=5 supergravity coupled to vector multiplets using the recently proposed H-FGK formalism, which we also extend to static black strings. We explain how to determine the integration constants and physical parameters of the black-hole and black-string solutions. We derive some model-independent statements, including the transformation of non-extremal flow equations to the form of those for the extremal flow. We apply our methods to the construction of example solutions (among others a new extremal string solution of heterotic string theory on K_3 \times S^1). In the cases where we have calculated it explicitly, the product of areas of the inner and outer horizon of a non-extremal solution coincides with the square of the moduli-independent area of the horizon of the extremal solution with the same charges.

33 pages. Revised version: references added. No other changes

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• Are quantization rules for horizon areas universal?
• The Freudenthal gauge symmetry of the black holes of N=2,d=4 supergravity
• Non-Abelian, supersymmetric black holes and strings in 5 dimensions
• Lifshitz-like solutions with hyperscaling violation in ungauged supergravity
• Non-Holomorphic Cycles and Non-BPS Black Branes
• Quantum black holes in Type-IIA String Theory
• Hot Attractors
• A note on the hidden conformal structure of non-extremal black holes
• Black holes and equivariant charge vectors in N=2,d=4 supergravity
• 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
• Black Hole Entropy, Quantum Corrections and EFT Transitions
• The supersymmetric black holes of N=8 supergravity
• Non-perturbative black holes in Type-IIA String Theory vs. the No-Hair conjecture
• Black holes in Sol minore
• On hvLif-like solutions in gauged Supergravity
• Four-charge static non-extremal black holes in the five-dimensional $\mathcal{N}=2$, $STU-W^{2}U$ supergravity
• Topological solutions in ungauged Supergravity
• Regular 3-charge 4D black holes and their microscopic description