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PreprintCC BY 4.0arXiv

Noncommutative BTZ Gravastar in Gauss-Bonnet Gravity

Abstract

We constructed a (2+1)-dimensional gravastar whose interior region was characterized by a noncommutative geometry with Gauss-Bonnet corrections, while the exterior region was described by a Gauss-Bonnet-modified BTZ solution. The two geometries were joined across a thin shell using the generalized junction formalism, from which we derived the surface equations of state. We investigated the energy conditions at the shell, determining the parameter regimes under which the null, weak, and strong energy conditions were satisfied. We also analyzed the thermodynamic properties of the noncommutative interior region, including the temperature, entropy, and heat capacity.

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BibTeX
@misc{anacleto2026noncommutative,
  title = {{Noncommutative BTZ Gravastar in Gauss-Bonnet Gravity}},
  author = {M. A. Anacleto and A. T. N. Silva and L. Casarini and B. R. Carvalho},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.18752},
  eprint = {2610.18752},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.18752},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Noncommutative BTZ Gravastar in Gauss-Bonnet Gravity
AU  - M. A. Anacleto
AU  - A. T. N. Silva
AU  - L. Casarini
AU  - B. R. Carvalho
PY  - 2026
DA  - 2026/10/13
PB  - arXiv
DO  - 10.48550/arxiv.2610.18752
UR  - https://arxiv.org/abs/2610.18752
AB  - We constructed a (2+1)-dimensional gravastar whose interior region was characterized by a noncommutative geometry with Gauss-Bonnet corrections, while the exterior region was described by a Gauss-Bonnet-modified BTZ solution. The two geometries were joined across a thin shell using the generalized junction formalism, from which we derived the surface equations of state. We investigated the energy conditions at the shell, determining the parameter regimes under which the null, weak, and strong energy conditions were satisfied. We also analyzed the thermodynamic properties of the noncommutative interior region, including the temperature, entropy, and heat capacity.
ER  -