New black ring with all independent conserved charges in five-dimensional minimal supergravity

TL;DR

This paper introduces a new exact, regular black ring solution in five-dimensional minimal supergravity that uniquely carries four independent conserved charges, including a dipole charge, and connects to various known solutions.

Contribution

The authors derive a novel non-BPS black ring solution with all independent conserved charges using Ehlers-Harrison transformations, extending previous vacuum solutions to charged, regular black rings.

Findings

Solution is free from singularities and closed timelike curves.

Black ring exhibits non-uniqueness with two branches for the same parameters.

Connects seamlessly to known black ring solutions.

Abstract

We present a new exact solution for a general non-BPS black ring in the bosonic sector of five-dimensional minimal supergravity. This obtained solution carries four independent conserved charges: the mass, two angular momenta, an electric charge, and an additional dipole charge related to other charges. By employing the Ehlers-Harrison transformation, we derive this solution by transforming a five-dimensional vacuum solution into a charged solution in the theory. Previously, our work produced a vacuum doubly rotating black ring solution possessing a Dirac-Misner string singularity by using the Ehlers transformation. In this study, we use the singular black ring as the seed for the Harrison transformation. The resultant solution is regular, free from curvature singularities, conical singularities, orbifold singularities, Dirac-Misner string singularities, and closed timelike curves both on and outside the horizon. We show that within a specific parameter range, the black ring presents two branches for the same mass, two angular momenta and electric charge but these are distinguished by a dipole charge, which exhibits discontinuous non-uniqueness. Furthermore, this newly obtained black ring seamlessly connects to various physically significant solutions, such as the Pomeransky-Sen'kov black ring, the extremal black ring, the supersymmetric black ring, and the charged singly-spinning black ring.