Black holes and wormholes in dimensions

Åminneborg, Stefan; Bengtsson, Ingemar; Brill, Dieter R.; Holst, Sören; Peldan, Peter

doi:10.1088/0264-9381/15/3/013

Cited by 140 publications

(323 citation statements)

References 15 publications

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“…Hence the manifold may be extended to values r < 0, and closed timelike curves will always be present. This is similar to the BTZ black hole [30], where no curvature singularity occurs (see also [31] for an exhaustive determination of (2 + 1)-black holes and their topology). On the other hand all non rotating solutions with η = 0 found so far have curvature singularities at the origin, but do not violate the strong causality condition.…”

Section: Some Properties Of G > 1 Rotating Black Holessupporting

confidence: 58%

Rotating topological black holes

1998

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A class of metrics solving Einstein's equations with negative cosmological constant and representing rotating, topological black holes is presented. All such solutions are in the Petrov type-D class, and can be obtained from the most general metric known in this class by acting with suitably chosen discrete groups of isometries. First, by analytical continuation of the Kerrde Sitter metric, a solution describing uncharged, rotating black holes whose event horizon is a Riemann surface of arbitrary genus g > 1, is obtained. Then a solution representing a rotating, uncharged toroidal black hole is also presented. The higher genus black holes appear to be quite exotic objects, they lack global axial symmetry and have an intricate causal structure. The toroidal black holes appear to be simpler, they have rotational symmetry and *

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Section: Some Properties Of G > 1 Rotating Black Holessupporting

confidence: 58%

Rotating topological black holes

1998

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“…It is a pleasure to also thank Marc Henneaux for a conversation about reference [20] and Ingemar Bengtsson for one on papers [24,25]. The work of B. S. was financed by the Swedish Science Research Council.…”

Section: Acknowledgementsmentioning

confidence: 97%

Multi-black-hole sectors ofAdS3gravity

Månsson

Sundborg

2001

Phys. Rev. D

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We construct and discuss solutions of SO(1, 2)×SO(1, 2) Chern-Simons theory which correspond to multiple BTZ black holes. These solutions typically have additional singularities, the simplest cases being special conical singularities with a 2π surplus angle. There are solutions with singularities inside a common outer horizon, and other solutions with naked conical singularities. Previously such singularities have been ruled out on physical grounds, because they do not obey the geodesic equation. We find however that the Chern-Simons gauge symmetry may be used to locate all such singularities to the horizons, where they necessarily follow geodesics. We are therefore led to conclude that these singular solutions correspond to physically sensible geometries.Boundary charges at infinity are only sensitive to the total mass and spin of the black holes, and not to the distribution among the black holes. We therefore argue that a holographic description in terms of a boundary conformal field theory should represent both single and multiple BTZ solutions with the same asymptotic charges. Then sectors with multiple black holes would contribute to the black hole entropy calculated from a boundary CFT.

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“…A striking fact is that geometric ideas presented in Mess' preprint provide an essential complement to the abundant literature devoted to BTZ (multi) blackholes (see [14,13,3,1,2,38,39,42], etc... This matter is developed in [15,16].…”

Section: N7 Anti-de Sitter Manifoldsmentioning

confidence: 99%

“…Such a de Sitter spacetime, denoted by M (1) , turns out to be maximal globally hyperbolic, the level surfaces M (a) of T are Cauchy surfaces, and its cosmological time is an explicit function of T .…”

Section: N9 Canonical Wick Rotationmentioning

confidence: 99%