Stability analysis of lower dimensional gravastars in noncommutative geometry
Abstract
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.
- Publication:
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European Physical Journal C
- Pub Date:
- November 2016
- DOI:
- 10.1140/epjc/s10052-016-4500-3
- arXiv:
- arXiv:1607.03875
- Bibcode:
- 2016EPJC...76..641B
- Keywords:
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- General Relativity and Quantum Cosmology
- E-Print:
- 3 figures