Impact of Thermal Fluctuations on Logarithmic Corrected Massive Gravity Charged Black Hole |
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Authors: | Abdul Jawad Shahid Chaudhary Kazuharu Bamba |
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Affiliation: | 1.Department of Mathematics, Lahore Campus, COMSATS University Islamabad, Lahore 54000, Pakistan; (A.J.); (S.C.);2.Division of Human Support System, Faculty of Symbiotic Systems Science, Fukushima University, Fukushima 960-1296, Japan |
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Abstract: | We investigate the influence of the first-order correction of entropy caused by thermal quantum fluctuations on the thermodynamics of a logarithmic corrected charged black hole in massive gravity. For this black hole, we explore the thermodynamic quantities, such as entropy, Helmholtz free energy, internal energy, enthalpy, Gibbs free energy and specific heat. We discuss the influence of the topology of the event horizon, dimensions and nonlinearity parameter on the local and global stability of the black hole. As a result, it is found that the holographic dual parameter vanishes. This means that the thermal corrections have no significant role to disturb the holographic duality of the logarithmic charged black hole in massive gravity, although the thermal corrections have a substantial impact on the thermodynamic quantities in the high-energy limit and the stability conditions of black holes. |
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Keywords: | massive gravity helmholtz free energy gibbs free energy enthalpy stability hessian matrix |
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