Thermodynamic Study of Higher Dimensional Black Holes through Exponential Entropy

Abstract

In this thesis, we work on thermodynamics of black holes via exponentially corrected entropies. Exponential corrections are applied to the entropy of 5D charged AdS black hole solutions that are found in Einstein Gauss Bonnet gravity and the nonlinear electrodynamics. Also, three different versions of 5D charged AdS black hole are considered by assuming q ! 0; k ! 0 and fl ! 0 (where q is charge, k is non-linear parameter and fl is coupling constant). For these black holes, extended phase space (where cosmological constant is interpreted as pressure) and flrst law of the black hole thermodynamics are demonstrated. Further, the thermal stability/instability, flrst/second order phase transitions for these black holes are investigated through the behavior of heat capacity at constant pressure, Gibbs free energy, Helmoltz free energy and the trace of the Hessian matrix in the presence of exponentially corrected entropies.