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Regarding a special class of pure F(R) gravity in three dimensions, weobtain, analytically, Lifshitz-like black hole solutions. We check thegeometrical properties of the solutions which behave such as charged BTZ blackholes in special limit. We also investigate the thermodynamic properties of thesolutions and examine the first law of thermodynamics and Smarr formula. Inaddition, we study thermal stability via the heat capacity and discuss thepossibility of criticality in the extended phase space.

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