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Asymptotic charged BTZ black hole solutions

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Abstract

The well-known (2 + 1)-dimensional Reissner-Nordström (BTZ) black hole can be generalized to three dimensional Einstein-nonlinear electromagnetic field, motivated from obtaining a finite value for the self-energy of a pointlike charge. Considering three types of nonlinear electromagnetic fields coupled with Einstein gravity, we derive three kinds of black hole solutions which their asymptotic properties are the same as charged BTZ solution. In addition, we calculate conserved and thermodynamic quantities of the solutions and show that they satisfy the first law of thermodynamics. Finally, we perform a stability analysis in the canonical ensemble and show that the black holes are stable in the whole phase space.

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  1. Physics Department and Biruni Observatory, Shiraz University, Shiraz, 71454, Iran

    S. H. Hendi

  2. Research Institute for Astrophysics and Astronomy of Maragha (RIAAM), P.O. Box 55134-441, Maragha, Iran

    S. H. Hendi

  3. Physics Department, College of Sciences, Yasouj University, Yasouj, 75914, Iran

    S. H. Hendi

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Hendi, S.H. Asymptotic charged BTZ black hole solutions. J. High Energ. Phys. 2012, 65 (2012). https://doi.org/10.1007/JHEP03(2012)065

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