[untitled]

Mena, Filipe C.; Natário, José; Paul, Thierry

doi:10.4310/atmp.2008.v12.n5.a5

Cited by 12 publications

(14 citation statements)

References 20 publications

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“…However, general relativity admits horizons with other topologies such as planar, toroidal and higher genus topologies [25]- [33]. Although these topologies may not be as physically relevant as their spherical counter-parts, there is good reason to study them.…”

Section: Introductionmentioning

confidence: 99%

A note on the symmetry reduction of SU(2) on horizons of various topologies

DeBenedictis¹,

Kloster²,

Brännlund³

2011

Class. Quantum Grav.

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It is known that the SU(2) degrees of freedom manifest in the description of the gravitational field in loop quantum gravity are generally reduced to U(1) degrees of freedom on an S 2 isolated horizon. General relativity also allows black holes with planar, toroidal, or higher genus topology for their horizons. These solutions also meet the criteria for an isolated horizon, save for the topological criterion, which is not crucial. We discuss the relevant corresponding symmetry reduction for black holes of various topologies (genus 0 and ≥ 2) here and discuss its ramifications to black hole entropy within the loop quantum gravity paradigm. Quantities relevant to the horizon theory are calculated explicitly using a generalized ansatz for the connection and densitized triad as well as utilizing a general metric admitting hyperbolic sub-spaces. In all scenarios, the internal symmetry may be reduced to combinations of U(1).

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Section: Introductionmentioning

confidence: 99%

A note on the symmetry reduction of SU(2) on horizons of various topologies

DeBenedictis¹,

Kloster²,

Brännlund³

2011

Class. Quantum Grav.

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“…Past approaches to this problem which consider spacetimes with a non-zero cosmological constant Λ in four dimensions include [7,10] for the collapse of Friedman-Lemaître-Robertson-Walker (FLRW) fluids and, more recently, [8] for the collapse of inhomogeneous and anisotropic fluids.…”

Section: Introductionmentioning

confidence: 99%

Black holes in higher dimensions and gravitational collapse

Mena¹

2012

AIP Conference Proceedings

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A Hamiltonian approach to the mass of isolated black holes AIP Conf.Abstract. We summarise recent results about the gravitational collapse to black holes in higher dimensions. We construct (n + 2)-dimensional collapsing space-times, which include generalised Friedmann-Lemaître-Robertson-Walker solutions, and we prove that these can be matched to static Λ-vacuum exterior space-times. We then investigate the global properties of the matched solutions which, besides black holes, may include the existence of naked singularities and wormholes.

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“…14,38,44,49 These are simply given by the classical FriedmanLemaître-Robertson-Walker (FLRW) metrics, but this doesn't seem to be very well known.…”

Section: Spatially Homogeneous and Isotropicmentioning

confidence: 99%

“…38,39 Due to the presence of an axis, 39 the spacetimes are locally rotationally symmetric (LRS). Now, all LRS spatially homogeneous metrics can be written in the compact form …”

Section: Spatially Homogeneous and Anisotropicmentioning

confidence: 99%

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Cylindrically symmetric models of gravitational collapse to black holes: A short review

Mena

2015

Int. J. Mod. Phys. D

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We survey results about exact cylindrically symmetric models of gravitational collapse in General Relativity. We focus on models which result from the matching of two spacetimes having collapsing interiors which develop trapped surfaces and vaccum exteriors containing gravitational waves. We collect some theorems from the literature which help to decide a priori about eventual spacetime matchings. We revise, in more detail, some toy models which include some of the main mathematical and physical issues that arise in this context, and compute the gravitational energy flux through the matching boundary of a particular collapsing region. Along the way, we point out several interesting open problems.

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[untitled]

Cited by 12 publications

References 20 publications

A note on the symmetry reduction of SU(2) on horizons of various topologies

A note on the symmetry reduction of SU(2) on horizons of various topologies

Black holes in higher dimensions and gravitational collapse

Cylindrically symmetric models of gravitational collapse to black holes: A short review

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