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arXiv · 2310.08852

Thin-shell gravastar in a noncommutative BTZ geometry

A. T. N. Silva·M. A. Anacleto·L. Casarini
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Abstract

In this paper, we build a thin-shell gravastar model within a noncommutative BTZ geometry. For this, we consider a noncommutative BTZ metric in the inner region and a geometry associated with a BTZ solution in the outer region, joined by the generalized join technique. After investigating the inner spacetime, surface and outer spacetime, we observe that there is a surface energy density and surface pressure, such as to make gravastar stable. This effect persists even when the cosmological constant is zero. Besides, we found a bound for the noncommutativity parameter. In addition, we examine the thermodynamics of the noncommutative BTZ black hole in Schwarzschildtype form in three-dimensional spacetime. We also check the stability condition by calculating the specific heat capacity.

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A. T. N. Silva, M. A. Anacleto, L. Casarini. 2023-10-13. Thin-shell gravastar in a noncommutative BTZ geometry. https://doi.org/10.1016/j.dark.2024.101479

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