Non-Extremal Black Holes of N=2,d=5 Supergravity

TL;DR

This paper generalizes the study of non-extremal black holes in N=2, d=5 supergravity, providing explicit solutions characterized by five parameters, and explores their supersymmetry properties and horizon regularity.

Contribution

It offers a complete integration of the equations of motion for a specific supergravity model, extending previous ansatz-based methods to a more general setting with explicit parameterization.

Findings

Solutions characterized by five parameters including mass, charges, and scalar values.

Regular black holes interpolate between extremal limits with specific scalar hair conditions.

Supersymmetry depends on the branch and extremality, with some solutions being supersymmetric and others not.

Abstract

We study the generalization of the Ansatz of Galli et al. for non-extremal black holes of N=2,d=4 supergravities for a simple model of N=2,d=5 supergravity with a vector multiplet whose moduli space has two branches. We use the formalism of Ferrara, Gibbons and Kallosh, which we generalize to any dimension d. We find that the equations of motion of the model studied can be completely integrated without the use of our Anstaz (which is,nevertheless, recovered in the integration). The family of solutions found (common to both branches) is characterized by five independent parameters: the mass M, the electric charges q_{0},q_{1}, the asymptotic value of the scalar at infinity \phi_{\infty} and the scalar charge \Sigma. The solutions have a singular horizon whenever \Sigma differs from a specific expression \Sigma_{0}(M,q_{0},q_{1},phi_{\infty}) (i.e. when there is primary scalar hair \Sigma-\Sigma_{0}\neq 0). The family of regular black holes interpolates between its two extremal limits. The supersymmetry properties of the extremal solutions depend on the choice of branch: one is always supersymmetric and the other non-supersymmetric in one branch and the reverse in the other one.