An exact solution for static scalar fields coupled to gravity in (2+1)-dimensions

Dağhan, Durmuş; Bilge, Ayşe Hümeyra

doi:10.1007/s10714-005-0111-2

Cited by 5 publications

(3 citation statements)

References 13 publications

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“…This is drastically different from the (3+1)-dimensional case in which the introduction of inhomogeneities in the initial density profile alters the nature of the singularity [9]. Some of the interesting papers regarding the collapse scenario in (2+1) dimensions are [10][11][12][13][14], and others on collapse with cosmological constant in (3+1) and higher dimensional scenarios are [15][16][17][18].…”

Section: Introductionmentioning

confidence: 96%

Gravitational collapse of inhomogeneous dust in (2+1) dimensions

Gutti¹

2005

Class. Quantum Grav.

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We examine the gravitational collapse of spherically symmetric inhomogeneous dust in (2+1) dimensions, with cosmological constant, for generic initial data. We obtain analytical expressions for the interior metric. We match the solution to a vacuum exterior. We discuss the nature of the singularity formed by analyzing the outgoing radial null geodesics. We examine the formation of trapped surfaces during the collapse.

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Section: Introductionmentioning

confidence: 96%

Gravitational collapse of inhomogeneous dust in (2+1) dimensions

Gutti¹

2005

Class. Quantum Grav.

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“…The next step is to integrate Eqs. (26) and (27) in order to obtain the value of the mass M . The gravitational contribution can be directly integrated, giving the result…”

Section: Massmentioning

confidence: 99%

“…The inclusion of a negative cosmological constant was first considered in [26], where the general solution for d = 3 spacetime dimensions was found, and later independently rediscovered in [14] and [27].…”

Section: Introductionmentioning

confidence: 99%

Anti-de Sitter massless scalar field spacetimes in arbitrary dimensions

García-Sáenz

Martínez

2012

Phys. Rev. D

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We consider $d$-dimensional static spacetimes in Einstein gravity with a cosmological constant in the presence of a minimally coupled massless scalar field. The spacetimes have a $(d-2)$-dimensional base manifold given by an Einstein space and the massless scalar field depends only on the radial coordinate. The field equations are decoupled in the general case, and can be solved exactly for the cases when either the cosmological constant vanishes or the base manifold is Ricci flat. We focus on the case of a negative cosmological constant and a Ricci-flat base manifold. The solution has a curvature singularity located at the origin, where also the scalar field diverges. Since there is no event horizon surrounding this singularity, the solution describes a naked singularity dressed with a nontrivial scalar field. This spacetime is an asymptotically locally anti-de Sitter one when the Ricci-flat base manifold is locally flat. The asymptotic solution for an arbitrary Einstein base manifold is found and the corresponding mass, calculated through the canonical generator of the time-translation invariance, is shown to be finite. The contribution to the mass from the scalar field at infinity is also discussed.Comment: 14 pages, 1 figure. Typos correcte

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Exact dynamical AdS black holes and wormholes with a Klein-Gordon field

Maeda

2012

Phys. Rev. D

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We present several classes of exact solutions in the Einstein-Klein-Gordon system with a cosmological constant. The spacetime has spherical, plane, or hyperbolic symmetry and the higher-dimensional solutions are obtained in a closed form only in the plane symmetric case. Among them, the class-I solution represents an asymptotically locally anti-de Sitter (AdS) dynamical black hole or wormhole. In four and higher dimensions, the generalized Misner-Sharp quasi-local mass blows up at AdS infinity, inferring that the spacetime is only locally AdS. In three dimensions, the scalar field becomes trivial and the solution reduces to the BTZ black hole.Comment: 11 pages, 2 figures, 2 tables; v2, results strengthened, argument on trapping horizon corrected; v3, argument on locally AdS property added, accepted for publication in Physical Review

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An exact solution for static scalar fields coupled to gravity in (2+1)-dimensions

Abstract: We obtain an exact solution for the Einstein's equations with cosmological constant coupled to a scalar, static particle in static, "spherically" symmetric background in (2 + 1)-dimensions.

Cited by 5 publications

References 13 publications

Gravitational collapse of inhomogeneous dust in (2+1) dimensions

Gravitational collapse of inhomogeneous dust in (2+1) dimensions

Anti-de Sitter massless scalar field spacetimes in arbitrary dimensions

Exact dynamical AdS black holes and wormholes with a Klein-Gordon field

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