Non-linear charged dS black hole and its thermodynamics and phase transitions

Nam, Cao H. (Aff1, 0000 0004 0470 5454, Department of Physics, College of Science, Yonsei University, 120-749, Seoul, South Korea)

26 May 2018

Abstract: From solving the equations of the motion for a system of Einstein gravity coupled to a non-linear electromagnetic field in the dS spacetime with two integral constants, we derived a static and spherical symmetric non-linear magnetic-charged black hole. It is indicated that this black hole solution behaves like a dS geometry in the short-distance regime. And, thus this black hole is regular. The structure of the black hole horizons is studied in detail. Also, we investigated the thermodynamics and the thermal phase transition of the black hole in both the local and global views. By observing the discontinuous change of the specific heat sign and the swallowtail structure of the free energy, we showed that the black hole can undergo a thermal phase transition between a thermodynamically unstable phase and a thermodynamically stable phase.

Published in: EPJC 78 (2018) 418
Published by: Springer/Società Italiana di Fisica
DOI: 10.1140/epjc/s10052-018-5922-x
License: CC-BY-3.0

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