Regular multihorizon black holes in modified gravity with nonlinear electrodynamics

Shin’ichi Nojiri and S. D. Odintsov
Phys. Rev. D 96, 104008 – Published 10 November 2017

Abstract

We investigated the regular multihorizon black holes in the Einstein gravity, F(R) gravity, and the 5 dimensional Gauss-Bonnet gravity, all of them coupled with nonlinear electrodynamics. We presented several explicit examples of the actions which admit the solutions describing regular black hole space-time with multihorizons. Thermodynamics of the obtained black hole solutions is studied. The explicit expressions of the temperature, the entropy, the thermodynamical energy and the free energy are obtained. Although the temperature vanishes in the extremal limit where the radii of the two horizons coincide with each other as in the standard multihorizon black hole like the Reissner-Nordström black hole or the Kerr black hole, the larger temperature corresponds to the larger horizon radius. This is different from the standard black holes, where the larger temperature corresponds to the smaller horizon radius. We also found that the specific heat becomes positive for the large temperature, which is also different from the standard black holes, where the specific heat is negative. It should be also noted that the thermodynamical energy is not identical with the ADM mass. Furthermore in case of the Gauss-Bonnet gravity,it is demonstrated that the entropy can become negative.

  • Received 9 August 2017

DOI:https://doi.org/10.1103/PhysRevD.96.104008

© 2017 American Physical Society

Physics Subject Headings (PhySH)

Gravitation, Cosmology & AstrophysicsGeneral Physics

Authors & Affiliations

Shin’ichi Nojiri1,2,3,* and S. D. Odintsov4,5,6,†

  • 1Department of Physics, Nagoya University, Nagoya 464-8602, Japan
  • 2Kobayashi-Maskawa Institute for the Origin of Particles and the Universe, Nagoya University, Nagoya 464-8602, Japan
  • 3KEK Theory Center, IPNS, KEK, Tsukuba, Ibaraki 305-0801, Japan
  • 4ICREA, Passeig Luis Companys, 23, 08010 Barcelona, Spain
  • 5Institute of Space Sciences (IEEC-CSIC) C. Can Magrans s/n, 08193 Barcelona, Spain
  • 6International Laboratory for Theoretical Cosmology, Tomsk State University of Control Systems and Radioelectronics (TUSUR), 634050 Tomsk, Russia

  • *nojiri@phys.nagoya-u.ac.jp
  • odintsov@ieec.uab.es

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Issue

Vol. 96, Iss. 10 — 15 November 2017

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