Perturbed thermodynamics and thermodynamic geometry of a static black hole in f(R) gravity
Sudhaker UpadhyayDepartment of Physics, K.L.S. College, Nawada, Bihar 805110, IndiaSaheb SoroushfarFaculty of Technology and Mining, Yasouj University, Choram 75761-59836, IranReza SaffariDepartment of Physics, University of Guilan, 41335-1914, Rasht, Iran
2021en
ABI
Abstract
In this paper, we consider a static black hole in [Formula: see text] gravity. We recapitulate the expression for corrected thermodynamic entropy of this black hole due to small fluctuations around equilibrium. Also, we study the geometrothermodynamics (GTD) of this black hole and investigate the adaptability of the curvature scalar of geothermodynamic methods with phase transition points of this black hole. Moreover, we study the effect of correction parameter on thermodynamic behavior of this black hole. We observe that the singular point of the curvature scalar of Ruppeiner metric coincides completely with zero point of the heat capacity and the deviation occurs with increasing correction parameter.
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