Degenerate Black Rings in $D=5$ Minimal Supergravity

Abstract

We consider both gauged and ungauged minimal supergravities in five dimensions and analyse the charged rotating solutions with two equal angular momenta $J$. When the electric charge $Q\sim J^{2/3}$ with some specific coefficient, we find new extremal black objects emerge that are asymptotic to either Minkowski or global AdS spacetimes and can be best described as degenerate black rings. Their near-horizon geometry is locally AdS${}_3\times S^2$, where the periodic $U(1)$ fibre coordinate in $S^3$ untwists and collapses to be the degenerate part of the AdS${}_3$ horizon. It turns out that there are two branches of extremal rotating black holes, starting as the extremal RN black holes of the same mass, but opposite charges. With the increasing of the angular momentum, they will join to become the same degenerate black ring, where the Gibbs free energies however are not continuous at the joining. For the same $Q(J)$ relation, we find that there is in addition a rotating soliton whose mass is smaller than the degenerate black ring.

Latex, 25 pages, typos corrected, reference added and the origin of the Gibbs free-energy discontinuity explained. To appear in SCPMA

References in corpus (5)

• Black Hole Enthalpy and an Entropy Inequality for the Thermodynamic Volume
• General Kerr-NUT-AdS Metrics in All Dimensions
• Black ring with two angular momenta
• Rotating Black Holes in Gauged Supergravities; Thermodynamics, Supersymmetric Limits, Topological Solitons and Time Machines
• Nonexistence of Extremal de Sitter Black Rings

Cited by in corpus (1)

• Negative Corrections to Black Hole Entropy from String Theory