The General, Duality-Invariant Family of Non-BPS Black-Hole Solutions of N=4, d=4 Supergravity

TL;DR

This paper introduces the most general family of stationary solutions in N=4, d=4 supergravity, encompassing known black holes and Taub-NUT solutions, and highlighting their duality invariance and geometric structure.

Contribution

It provides a comprehensive, duality-invariant family of solutions including all known black holes and Taub-NUT solutions in N=4, d=4 supergravity, with explicit entropy and temperature formulas.

Findings

Includes all known BPS and non-BPS black holes

Solutions are invariant under T and S dualities

Explicit entropy and temperature expressions provided

Abstract

We present the most general family of stationary point-like solutions of pure N=4, d=4 Supergravity characterized by completely independent electric and magnetic charges, mass, angular momentum and NUT charge plus the asymptotic values of the scalars. It includes, for specific values of the charges all previously known BPS and non-BPS, extreme and non-extreme black holes and Taub-NUT solutions. As a family of solutions, it is manifestly invariant under T and S duality transformations and exhibits a structure related to the underlying special geometry structure of the theory. Finally, we study briefly the black-hole-type subfamily of metrics and give explicit expressions for their entropy and temperature.