Three dimensional Lifshitz-like black hole in a special class of F(R) gravity

Regarding a special class of pure F(R) gravity in three dimensions, we obtain, analytically, Lifshitz-like black hole solutions. We check the geometrical properties of the solutions which behave such as charged BTZ black holes in special limit. We also investigate the thermodynamic properties of the...

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Bibliographic Details
Published in:Physics letters. B 2020-06, Vol.805, p.135436, Article 135436
Main Authors: Hendi, S.H., Ramezani-Arani, R., Rahimi, E.
Format: Article
Language:English
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Summary:Regarding a special class of pure F(R) gravity in three dimensions, we obtain, analytically, Lifshitz-like black hole solutions. We check the geometrical properties of the solutions which behave such as charged BTZ black holes in special limit. We also investigate the thermodynamic properties of the solutions and examine the first law of thermodynamics and Smarr formula. In addition, we study thermal stability via the heat capacity and discuss the possibility of criticality in the extended phase space.
ISSN:0370-2693
1873-2445
DOI:10.1016/j.physletb.2020.135436