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arXiv · 1607.03875

Stability analysis of Lower Dimensional Gravastars in noncommutative geometry

Ayan Banerjee·Sudan Hansraj
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Abstract

The Bañados, Teitelboim and Zanelli \cite{BTZ1992}, black hole solution is revamped from the Einstein field equations in (2 + 1)-dimensional anti-de Sitter spacetime, in a context of noncommutative geometry \cite{Rahaman(2013)}. In this article, we explore the exact gravastar solutions in three-dimension 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 $\sqrtα$ 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, stability analysis is carried out for the dynamic case for the specific case when $χ< 0. 214$ under radial perturbations about static equilibrium solutions. To give theoretical support we also trying to explore their physical properties and characteristics.

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Ayan Banerjee, Sudan Hansraj. 2016-07-20. Stability analysis of Lower Dimensional Gravastars in noncommutative geometry. https://doi.org/10.1140/epjc%2Fs10052-016-4500-3

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