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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

BTZ black holes inspired by noncommutative geometry

Farook Rahaman , P. K. F. Kuhfittig , B. C. Bhui , Masiur Rahaman , Saibal Ray , U. F. Mondal This is my paper
classification gr-qc
keywords blackgeometryholeholeshorizonnoncommutativeparticlesanti-de
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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 1 Pith paper

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

    gr-qc 2025-12 conditional novelty 5.0

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