Thin-shell gravastar in a noncommutative BTZ geometry
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866916188181757952 |
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| author | Silva, A. T. N. Anacleto, M. A. Casarini, L. |
| author_facet | Silva, A. T. N. Anacleto, M. A. Casarini, L. |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2310_08852 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Thin-shell gravastar in a noncommutative BTZ geometry Silva, A. T. N. Anacleto, M. A. Casarini, L. General Relativity and Quantum Cosmology High Energy Physics - Theory 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. |
| title | Thin-shell gravastar in a noncommutative BTZ geometry |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2310.08852 |