BTZ black holes inspired by noncommutative geometry

Rahaman, Farook; Kuhfittig, Peter K. F.; Bhui, B.; Rahaman, Mosiur; Ray, Saibal; Mondal, U. F.

doi:10.1103/physrevd.87.084014

Cited by 46 publications

(49 citation statements)

References 29 publications

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“…Recently Rahaman et al [65] have found a BTZ black hole inspired by noncommutative geometry with negative cosmological constant Λ. The metric is given by…”

Section: Construction Of Thin-shell Wormholementioning

confidence: 99%

“…A number of studies on the exact wormhole solutions in the context of noncommutative geometry can be found in the literature [60][61][62][63][64]. Recently, Rahaman et al [65] have investigates the properties of a BTZ black hole [66] constructed from the exact solution of the Einstein field equations in a (2 + 1)-dimensional anti-de Sitter space-time in the context of noncommutative geometry. They showed that noncommutative geometry background is able to account for producing stable circular orbits, as well as attractive gravity, without any need for exotic dark matter.…”

Section: Introductionmentioning

confidence: 99%

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Stability of thin-shell wormholes from noncommutative BTZ black hole

Bhar

Banerjee

2015

Int. J. Mod. Phys. D

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In this paper, we construct thin-shell wormholes in (2+1)-dimensions from noncommutative BTZ black hole by applying the cut-and-paste procedure implemented by Visser. We calculate the surface stresses localized at the wormhole throat by using the Darmois-Israel formalism, and we find that the wormholes are supported by matter violating the energy conditions. In order to explore the dynamical analysis of the wormhole throat, we consider that the matter at the shell is supported by dark energy equation of state p = ωρ with ω < 0. The stability analysis is carried out of these wormholes to linearized spherically symmetric perturbations around static solutions. Preserving the symmetry we also consider the linearized radial perturbation around static solution to investigate the stability of wormholes which explored by the parameter β (speed of sound).

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“…Recently Rahaman et al [65] have found a BTZ black hole inspired by noncommutative geometry with negative cosmological constant Λ. The metric is given by…”

Section: Construction Of Thin-shell Wormholementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Stability of thin-shell wormholes from noncommutative BTZ black hole

Bhar

Banerjee

2015

Int. J. Mod. Phys. D

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“…By solving the Einstein equations with an EOS p r = −ρ, as a matter source, we have the following relationship (see Ref. [2]):…”

Section: Interior Geometrymentioning

confidence: 99%

“…From the fundamental point of view of noncommutative geometry there is an interesting interplay between mathematics, high energy physics as well as cosmology and astrophysics. In a noncommutative spacetime the coordinate operators on a D-brane [20,21] can be encoded by the commutator [x μ ,x ν ] = iϑ μν , wherex and iϑ μν are the coordinate operators and an antisymmetric tensor of dimension (length) 2 , which determines the fundamental cell discretization of spacetime. As Smailagic et al have shown [22] that noncommutativity replaces point-like structures by smeared objects in flat spacetime.…”

Section: Introductionmentioning

confidence: 99%

Stability analysis of lower dimensional gravastars in noncommutative geometry

Banerjee¹,

Hansraj²

2016

Eur. Phys. J. C

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The Bañados et al. (Phys. Rev. Lett 69:1849, 1992, black hole solution is revamped from the Einstein field equations in (2 + 1)-dimensional anti-de Sitter spacetime, in a context of noncommutative geometry (Phys. Rev. D 87:084014, 2013). In this article, we explore the exact gravastar solutions in three-dimensional anti-de Sitter space given in the same geometry. As a first step we derive BTZ solution assuming the source of energy density as point-like structures in favor of smeared objects, where the particle mass M, is diffused throughout a region of linear size √ α and is described by a Gaussian function of finite width rather than a Dirac delta function. We matched our interior solution to an exterior BTZ spacetime at a junction interface situated outside the event horizon. Furthermore, a stability analysis is carried out for the specific case when χ < 0.214 under radial perturbations about the static equilibrium solutions.To give theoretical support we are also trying to explore their physical properties and characteristics.

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“…Making use of Finch and Skea [8] ansatz in (2 + 1) dimensions, Banerjee et al [9] have generated new class of physically acceptable interior solutions corresponding to the BTZ exterior. Rahaman et al [10] have studied the properties of BTZ black hole by proposing new exact solutions of Einstein's field equations in (2 + 1) dimensional anti-de Sitter back ground space-time in the context of non-commutative geometry.…”

Section: Introductionmentioning

confidence: 99%

Exact solutions in (2+1)-dimensional anti-de Sitter space-time admitting a linear or non-linear equation of state

Banerjee

Rahaman

Jotania

et al. 2014

Astrophys Space Sci

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Gravitational analyzes in lower dimensions has become a field of active research interest ever since Bañados, Teitelboim and Zanelli (BTZ) (Phys. Rev. Lett. 69, 1849Lett. 69, , 1992 proved the existence of a black hole solution in (2 + 1) dimensions. The BTZ metric has inspired many investigators to develop and analyze circularly symmetric stellar models which can be matched to the exterior BTZ metric. We have obtained two new classes of solutions for a (2 + 1)-dimensional anisotropic star in anti-de Sitter background space-time which have been obtained by assuming that the equation of state (EOS) describing the material composition of the star could either be linear or non-linear in nature. By matching the interior solution to the BTZ exterior metric with zero spin, we have demonstrated that the solutions provided here are regular and well-behaved at the stellar interior.

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BTZ black holes inspired by noncommutative geometry

Cited by 46 publications

References 29 publications

Stability of thin-shell wormholes from noncommutative BTZ black hole

Stability of thin-shell wormholes from noncommutative BTZ black hole

Stability analysis of lower dimensional gravastars in noncommutative geometry

Exact solutions in (2+1)-dimensional anti-de Sitter space-time admitting a linear or non-linear equation of state

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