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.
