Abstract
In five-dimensional minimal supergravity, there are spherical black holes with nontrivial topology outside the horizon which have the same conserved charges at infinity as the BMPV solution. We show that some of these black holes have greater entropy than the BMPV solution. These spacetimes are all asymptotically flat, stationary, and supersymmetric. We also show that there is a limit in which the black hole shrinks to zero size and the solution becomes a nonsingular “bubbling” geometry. Thus, these solutions provide explicit analytic examples of placing black holes inside solitons.
Highlights
JHEP06(2017)048 the fact that a black ring can carry much more angular momentum than a spherical black hole
A single supersymmetric black ring [6] cannot have the same charges as BMPV, two concentric supersymmetric black rings can, and sometimes have greater entropy [7]. (This is a precursor to the four dimensional entropy enigma [8].) This phenomenon occurs for a bound state of two spherical spinning black holes [9]
We have studied a four-parameter family of black hole solutions with a topologically nontrivial S2-cycle outside the horizon
Summary
This theory admits an asymptotically flat, supersymmetric black hole with S3 horizon and a 2-cycle C, or ‘bubble’, outside the horizon [4]. The solution is smooth at the ‘centres’ r1 = 0 and r2 = 0 if 0 < ψ < 4π and the following constraints on the parameters are satisfied (ωψ)r1=0 = 0 , Near these centres t = constant defines spatial hypersurfaces which approach the origin of R4. By choosing different boundary conditions at r = 0, the above family of solutions corresponds to the soliton spacetime with two bubbles found in [22] This is achieved by imposing that the solution at the centre r = 0 is smooth, and that near this centre, t = constant defines spatial hypersurfaces which approach the origin of R4.
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