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BTZ black holes inspired by noncommutative geometry

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arxiv 1301.4217 v3 pith:M5K5Y4RH submitted 2013-01-17 gr-qc

Farook Rahaman , P. K. F. Kuhfittig , B. C. Bhui , Masiur Rahaman , Saibal Ray , U. F. Mondal This is my paper · ORCID
classification gr-qc
keywords blackgeometryholeholeshorizonnoncommutativeparticlesanti-de
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In this paper a Banados, Teitelboim and Zanelli (BTZ) black hole is constructed from an exact solution of the Einstein field equations in a (2+1)-dimensional anti-de Sitter spacetime in the context of noncommutative geometry. The BTZ black hole turns out to have two horizons, no horizon or a single horizon corresponding to a minimal mass. Certain thermodynamical properties are investigated, including Hawking temperature, entropy and heat capacity. Also discussed is the geodesic structure of BTZ black holes for both massless and massive particles. In particular, it is shown that bound orbits for test particles are possible.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. On the consistency of non-commutative geometry inspired Reissner-Nordstr\"{o}m black hole solution

    gr-qc 2025-07 conditional novelty 6.0 of 10

    The smeared-charge Reissner-Nordström metric used in noncommutative black hole papers is not a full solution of Einstein's equations unless the electromagnetic stress tensor is modified by hand.

  2. Optimal Control Theory of the (2+1)-Dimensional BTZ Black Hole

    gr-qc 2025-12 conditional novelty 5.0 of 10

    Geodesics of the Weinhold and Ruppeiner thermodynamic metrics are computed for the BTZ black hole and interpreted as optimal evaporation/accretion protocols.

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