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Sci. China-Phys. Mech. Astron. 64, 110411 (2021)

Degenerate black rings in D = 5 minimal supergravity

Shi-Fa Guo, Hong Lu* and Yi Pang

Center for Joint Quantum Studies and Department of Physics, School of Science, Tianjin University, Tianjin 300350, China.

mrhonglu@gmail.com

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 ∼ J2/3 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 AdS3 × S2, where the periodic U(1) fibre coordinate in S3 untwists and collapses to be the degenerate part of the AdS3 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 that of the degenerate black ring.

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Center for Joint Quantum Studies, School of Science, Tianjin University     Address : Yaguan Road 135, Jinnan District, 300350 Tianjin, P. R. China