Existence of outermost apparent horizons with product of spheres topology

Schwartz, Fernando

doi:10.48550/arxiv.0704.2403

Cited by 5 publications

(9 citation statements)

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“…Conventional approaches based on topological considerations have only found very weak restrictions in six or more dimensions [62,63], and, not being constructive, provide scant information about the actual existence of horizons with other topologies. On the other hand, it is possible to construct time-symmetric initial data containing apparent horizons with the geometry of products of spheres [64], but given the absence of rotation, dynamical evolution should presumably drive these geometries to collapse into a single spherical black hole. Our method, instead, is constructive and uses crucially dynamical information to determine the possible horizon geometries.…”

Section: Discussionmentioning

confidence: 99%

The phase structure of higher-dimensional black rings and black holes

Emparan

Harmark²,

Niarchos

et al. 2007

J. High Energy Phys.

161

495

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We construct an approximate solution for an asymptotically flat, neutral, thin rotating black ring in any dimension D ≥ 5 by matching the near-horizon solution for a bent boosted black string, to a linearized gravity solution away from the horizon. The rotating black ring solution has a regular horizon of topology S 1 × S D−3 and incorporates the balancing condition of the ring as a zero-tension condition. For D = 5 our method reproduces the thin ring limit of the exact black ring solution. For D ≥ 6 we show that the black ring has a higher entropy than the Myers-Perry black hole in the ultraspinning regime. By exploiting the correspondence between ultra-spinning black holes and black membranes on a two-torus, we take steps towards qualitatively completing the phase diagram of rotating blackfolds with a single angular momentum. We are led to propose a connection between MP black holes and black rings, and between MP black holes and black Saturns, through merger transitions involving two kinds of 'pinched' black holes. More generally, the analogy suggests an infinite number of pinched black holes of spherical topology leading to a complicated pattern of connections and mergers between phases.

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Section: Discussionmentioning

confidence: 99%

The phase structure of higher-dimensional black rings and black holes

Emparan

Harmark²,

Niarchos

et al. 2007

J. High Energy Phys.

161

495

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“…We are grateful to Roberto Emparan for clarifying comments on the singularity structure of d > 5-dimensional black rings, and for bringing Ref. [40] to our attention, pointing out a possible extension of our current results. M.J.R.…”

Section: Acknowledgementsmentioning

confidence: 57%

“…A further generalization of the solutions may be along the lines of Ref. [40], where (apparent) horizons of topology S n × S m+1 , n, m ≥ 1 were considered.…”

Section: Discussionmentioning

confidence: 99%

New generalized nonspherical black hole solutions

Kleihaus

Kunz

Radu

et al. 2011

J. High Energ. Phys.

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We present numerical evidence for the existence of several types of static black hole solutions with a nonspherical event horizon topology in $d\geq 6$ spacetime dimensions. These asymptotically flat configurations are found for a specific metric ansatz and can be viewed as higher dimensional counterparts of the $d=5$ static black rings, dirings and black Saturn. Similar to that case, they are supported against collapse by conical singularities. The issue of rotating generalizations of these solutions is also considered

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“…In General Relativity there are numerical solutions for asymptotically flat black holes in D = 7 with S 1 × S D−3 ("black rings") [36] and S 2 × S D−4 ("generalized black rings") [37] horizon topologies. In [38] asymptotically flat black hole spacetimes with horizon topologies S k × S D−k−2 were explicitly constructed, however it is not known are these spacetimes solutions in any (generalized) gravity theory.…”

Section: Nontrivial Horizon Geometriesmentioning

confidence: 99%

Gravitational Chern-Simons terms and black hole entropy. Global aspects

Bonora

Cvitan

Prester

et al. 2012

J. High Energ. Phys.

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Abstract. We discuss the topological and global gauge properties of the formula for a black hole entropy due to a purely gravitational Chern-Simons term. We study under what topological and geometrical conditions this formula is well-defined. To this end we have to analyze the global properties of the Chern-Simons term itself and the quantization of its coupling. We show that in some cases the coupling quantization may interfere with the well-definiteness of the entropy formula.

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Existence of outermost apparent horizons with product of spheres topology

Cited by 5 publications

References 0 publications

The phase structure of higher-dimensional black rings and black holes

The phase structure of higher-dimensional black rings and black holes

New generalized nonspherical black hole solutions

Gravitational Chern-Simons terms and black hole entropy. Global aspects

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