Topological Censorship[Phys. Rev. Lett. 71, 1486 (1993)]

Friedman, John L.; Schleich, Kristin; Witt, Donald

doi:10.1103/physrevlett.75.1872

Cited by 169 publications

(164 citation statements)

References 8 publications

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“…This relies on the Gauss-Bonnet theorem applied to the (two dimensional) horizon and therefore does not generalize to higher dimensions. An alternative proof in four dimensions is based on the notion of "topological censorship" [30]. Consider a spacelike slice Σ that intersects the future event horizon and let H denote the intersection.…”

Section: Black Holes With Fewer Symmetriesmentioning

confidence: 99%

Higher dimensional black holes and supersymmetry

2003

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It has recently been shown that the uniqueness theorem for stationary black holes cannot be extended to five dimensions. However, uniqueness is an important assumption of the string theory black hole entropy calculations. This paper partially justifies this assumption by proving two uniqueness theorems for supersymmetric black holes in five dimensions. Some remarks concerning general properties of non-supersymmetric higher dimensional black holes are made. It is conjectured that there exist new families of stationary higher dimensional black hole solutions with fewer symmetries than any known solution.

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Section: Black Holes With Fewer Symmetriesmentioning

confidence: 99%

Higher dimensional black holes and supersymmetry

2003

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“…This condition applied to twodimensional manifolds determines uniquely the topology. The "topological censorship theorem" of Friedmann, Schleich and Witt is another indication of the impossibility of non spherical horizons [37,38]. However, when the asymptotic flatness of spacetime is violated, there is no fundamental reason to forbid the existence of static or stationary black holes with nontrivial topologies.…”

Section: Introductionmentioning

confidence: 99%

Topological Born–Infeld-dilaton black holes

Sheykhi¹

2008

Physics Letters B

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We construct a new analytic solution of Einstein-Born-Infeld-dilaton theory in the presence of Liouville-type potentials for the dilaton field. These solutions describe dilaton black holes with nontrivial topology and nonlinear electrodynamics. Black hole horizons and cosmological horizons in these spacetimes, can be a two-dimensional positive, zero or negative constant curvature surface. The asymptotic behavior of these solutions are neither flat nor (A)dS. We calculate the conserved and thermodynamic quantities of these solutions and verify that these quantities satisfy the first law of black hole thermodynamics.

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“…That is, general relativity does not allow an observer to probe the topology of spacetime: Any topological structure collapses too quickly to allow light to traverse it. Later on, however, they found that nontrivial topologies can be observed passively [2]. The black holes with toroidal topology have indeed been found numerically in the gravitational collapse [3], although such a topological structure is temporal.…”

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confidence: 99%