Supersymmetric rotating black holes and attractors

Каллош, Рената; Rajaraman, Arvind; Wong, Wing Kai

doi:10.1103/physrevd.55.r3246

Cited by 56 publications

(63 citation statements)

References 16 publications

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“…However, there is also another term in B I mn which is proportional to Θ I mn . This term also cancels from the supersymmetry variation, but only for the components of the supersymmetry generator ǫ that satisfy the projection (22). However, in the near horizon region there is enhancement of supersymmetry and so the variation must vanish for all components ǫ.…”

Section: Near Horizon Enhancement Of Supersymmetrymentioning

confidence: 99%

“…We exploited that, due to radial symmetry, only the electric components F I mt of the field strength can be nonvanishing. We next assume that the solution preserve N = 1 supersymmetry so that (22) are the only projections imposed on the spinor ǫ. Then Γ m ǫ will be nonvanishing for all m and the solutions to (23) must satisfy…”

Section: A First Look At the Attractor Mechanismmentioning

confidence: 99%

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The Attractor Mechanism in Five Dimensions

Larsen

2008

Lecture Notes in Physics

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We give a pedagogical introduction to the attractor mechanism. We begin by developing the formalism for the simplest example of spherically symmetric black holes in five dimensions which preserve supersymmetry. We then discuss the refinements needed when spherical symmetry is relaxed. This is motivated by rotating black holes and, especially, black rings. An introduction to non-BPS attractors is included, as is a discussion of thermodynamic interpretations of the attractor mechanism. 1

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Section: Near Horizon Enhancement Of Supersymmetrymentioning

confidence: 99%

Section: A First Look At the Attractor Mechanismmentioning

confidence: 99%

The Attractor Mechanism in Five Dimensions

Larsen

2008

Lecture Notes in Physics

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“…It was only recently that simply connected, asymptotically flat BPS solutions of the supergravity equations of motion which admit CTC's were found to exist [5,6]. These spacetimes, which we refer to as the 'BMPV family', have a net angular momentum and represent, for sufficiently small values of the angular momentum, black holes with degenerate and non-rotating horizons in five spacetime dimensions.…”

Section: Introductionmentioning

confidence: 99%

Supersymmetric rotating black holes and causality violation

Gibbons

Herdeiro

1999

Class. Quantum Grav.

113

174

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The geodesics of the rotating extreme black hole in five spacetime dimensions found by Breckenridge, Myers, Peet and Vafa are Liouville integrable and may be integrated by additively separating the Hamilton-Jacobi equation. This allows us to obtain the Stäckel-Killing tensor. We use these facts to give the maximal analytic extension of the spacetime and discuss some aspects of its causal structure. In particular, we exhibit a 'repulson'-like behaviour occuring when there are naked closed timelike curves. In this case we find that the spacetime is geodesically complete (with respect to causal geodesics) and free of singularities. When a partial Cauchy surface exists, we show, by solving the Klein-Gordon equation, that the absorption cross-section for massless waves at small frequencies is given by the area of the hole. At high frequencies a dependence on the angular quantum numbers of the wave develops. We comment on some aspects of 'inertial time travel' and argue that such time machines cannot be constructed by spinning up a black hole with no naked closed timelike curves. *

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“…If we set R 2 = 1/2, sin ξ = j, 2t → t and r → r 2 we recover a solution that describes the near-horizon limit of the supersymmetric [23] rotating d = 5 black hole, given in [24,39]. While it was known that in the zero-rotation limit j = 0 this solution has the metric of aDS 2 × S 3 , the result in the limiting case j → 1 was unknown since it is a singular limit.…”

Section: Dyonic Casementioning

confidence: 99%

On d 4, 5, 6 vacua with eight supercharges

Lozano-Tellechea

Meessen

Ortı́n

2002

Class. Quantum Grav.

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We show how all known N = 2, d = 4, 5, 6 maximally supersymmetric vacua (Hppwaves and aDS × S solutions) are related through dimensional reduction/oxidation preserving all the unbroken supersymmetries. In particular we show how the N = 2, d = 5 family of vacua (which are the near-horizon geometry of supersymmetric rotating black holes) interpolates between aDS 2 × S 3 and aDS 3 × S 2 in parameter space and how it can be dimensionally reduced to an N = 2, d = 4 dyonic RobinsonBertotti solution with geometry aDS 2 × S 2 and oxidized to an N = 2, d = 6 solution with aDS 3 × S 3 geometry (which is the near-horizon limit of the self-dual string).

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Supersymmetric rotating black holes and attractors

Cited by 56 publications

References 16 publications

The Attractor Mechanism in Five Dimensions

The Attractor Mechanism in Five Dimensions

Supersymmetric rotating black holes and causality violation

On d 4, 5, 6 vacua with eight supercharges

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