Rotating circular strings, and infinite non-uniqueness of black rings

By Roberto Emparan. 2004

249 citations recorded by the source corpus.

We present new self-gravitating solutions in five dimensions that describe circular strings, i.e. rings, electrically coupled to a two-form potential (as e.g. fundamental strings do), or to a dual magnetic one-form. The rings are prevented from collapsing by rotation, and they create a field analogous to a dipole, with no net charge measured at infinity. They can have a regular horizon, and we show that this implies the existence of an infinite number of black rings, labeled by a continuous parameter, with the same mass and angular momentum as neutral black rings and black holes. We also discuss the solution for a rotating loop of fundamental string. We show how more general rings arise from intersections of branes with a regular horizon (even at extremality), closely related to the configurations that yield the four-dimensional black hole with four charges. We reproduce the Bekenstein-Hawking entropy of a large extremal ring through a microscopic calculation. Finally, we discuss some qualitative ideas for a microscopic understanding of neutral and dipole black rings.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/06c251c7247f8ab587753587543eafda77ae6679

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Citations in the corpus

The large D limit of General Relativity (2013, background): “Similarly, the effect of p-form charges (with p not scaling with D), which can be carried by black p-branes or by black holes with non-spherical topologies [30, 31, 32], vanishes in the directions transverse to the brane if we keep their charge-radius fixed.”
Stationary and axisymmetric solutions of higher-dimensional general relativity (2004, methodology): “1) generically has conical singularities at u = 1, u = −1 and v = −1 [20].”
Adding momentum to D1-D5 system (2004, background): “2) The near horizon region of the geometry which we discussed in this paper corresponded to such state, but it was not very interesting from the AdS/CFT point of view since it was obtained form the Ramond (21)Our solutions would contribute to the entropy of either BMPV black hole [3] or more general”
The Phase Structure of Higher-Dimensional Black Rings and Black Holes (2007, background): “This reproduces the solution in [60, 3] to linear order in ν.”
Bicycling black rings (2007, background): “Recent progress on understanding the microscopic nature of non-supersymmetric zero temperature black holes includes [2, 3, 4, 5, 6, 7, 8].”
Black Holes in Higher Dimensions (2008, methodology): “The Myers–Perry solution with a single rotation is obtained as a limit of the general solution (50) [79], but cannot be recovered if λ is eliminated through Equation (55).”
Supergravity microstates for BPS black holes and black rings (2005, background): “A similar conjecture applies for the new black ring solutions [2, 3, 4, 5, 6, 7, 8].”
One Ring to Rule Them All ... and in the Darkness Bind Them (2004, background): “Other interesting work on black rings has appeared in [14].”
Black Saturn (2007, background): “15) are ∆ψ = ∆φ = 2πk, which with k given above agrees precisely with the result for the black ring [44].”
Thermodynamics of Rotating Black Holes and Black Rings: Phase Transitions and Thermodynamic Volume (2014, unknown): “, [110–115].”