Singly and doubly spinning non-supersymmetric F1-P black ring solutions are constructed in 5D supergravity, with the doubly spinning case admitting an extremal limit where entropy S equals 2 pi times the S^2 angular momentum J_phi.
Unbalanced Pomeransky-Sen'kov black ring
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abstract
The Pomeransky-Sen'kov solution is well known to describe an asymptotically flat doubly rotating black ring in five dimensions, whose self-gravity is exactly balanced by the centrifugal force arising from the rotation in the ring direction. In this paper, we generalise this solution to the unbalanced case, in which there is in general a conical singularity in the space-time. Unlike a previous form of this solution presented in the literature, our form is much more compact. We describe in detail how this solution can be derived using the inverse-scattering method, and study its various properties. In particular, we show how various known limits can be recovered as special cases of this solution.
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The authors derive explicit monodromy matrices for Bena-Warner BPS solutions and almost-BPS configurations including two-center black rings, factorize them via nilpotent elements of so(4,4), and construct an SO(4,4) duality relating branches of the Rasheed-Larsen solution.
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Non-supersymmetric F1-P black rings
Singly and doubly spinning non-supersymmetric F1-P black ring solutions are constructed in 5D supergravity, with the doubly spinning case admitting an extremal limit where entropy S equals 2 pi times the S^2 angular momentum J_phi.
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Monodromy-Matrix Description of Extremal Multi-centered Black Holes
The authors derive explicit monodromy matrices for Bena-Warner BPS solutions and almost-BPS configurations including two-center black rings, factorize them via nilpotent elements of so(4,4), and construct an SO(4,4) duality relating branches of the Rasheed-Larsen solution.