https://doi.org/10.1140/epjc/s10052-016-4500-3
Regular Article - Theoretical Physics
Stability analysis of lower dimensional gravastars in noncommutative geometry
1
Department of Mathematics, Jadavpur University, Kolkata, 700032, India
2
Astrophysics and Cosmology Research Unit, School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Private Bag X54001, Durban, 4000, South Africa
* e-mail: hansrajs@ukzn.ac.za
Received:
2
September
2016
Accepted:
10
November
2016
Published online:
23
November
2016
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 
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 
under radial perturbations about the static equilibrium solutions. To give theoretical support we are also trying to explore their physical properties and characteristics.
© The Author(s), 2016
