Non-supersymmetric black rings as thermally excited supertubes

Abstract

We construct a seven-parameter family of supergravity solutions that describe non-supersymmetric black rings and black tubes with three charges, three dipoles and two angular momenta. The black rings have regular horizons and non-zero temperature. They are naturally interpreted as the supergravity descriptions of thermally excited configurations of supertubes, specifically of supertubes with two charges and one dipole, and of supertubes with three charges and two dipoles. In order to fully describe thermal excitations near supersymmetry of the black supertubes with three charges and three dipoles a more general family of black ring solutions is required.

Three-charge supertubes in a rotating black hole background

“…Recent work, e.g. [5][6][7][8][9], has shown that supergravity supertubes are part of a larger class of solutions of supergravity, called black supertubes, that saturate a Bogomol'nyi-Prasad-Sommerfeld (BPS) bound. These supersymmetric solutions in general possess three charges, three dipole moments, two independent angular momenta and an event horizon.…”

“…This family of solutions also contains BPS objects without event horizons, and the supertubes to which we refer in the present work belong to this family. Moreover, certain (non-supersymmetric) higher dimensional lifts of black rings, called black tubes, have been shown to correspond to excited states of two-charge and three-charge supertubes [5,9].…”

“…Now, such a supertube has a naked curvature singularity at its core [5,21]. However, Reference [9] was able to describe this supertube, for a certain range of angular momentum, as the supersymmetric limit of a family of black rings that do have regular horizons. It was therefore suggested that despite the naked singularity, this solution should be regarded as JHEP03 (2009)145 physically sensible.…”

“…Supersymmetric black rings were first discovered in [38]; three-charge, three-dipole versions (and their string theoretic descriptions) were given in [5,6,25] and the general family of their non-supersymmetric deformations is believed to have nine parameters. To date, however, only a smaller seven-parameter family of these non-supersymmetric solutions is known [9]. The BPS black rings themselves are characterized by up to seven independent parameters.…”

Rotating dyonic dipole black rings: exact solutions and thermodynamics

“…This fact leads to continuous non-uniqness. Following the same path that yields the three-charge rotating black holes [40]- [43], Elvang, Emparan and Figueras constructed a seven-parameter family of supergravity solutions that describe non-supersymmetric black rings and black tubes with three charges, three dipoles and two angular momenta [44].…”