Logarthmic Corrections to the entropy of Hairy black hole in (2 + 1) dimension gravity Journal of Physics: Conference Series

The entropy recives the logarthanmic corrections in the black hole due to the quantum fluctuation close to the horizon. We study these logarithmic corrections of entropy for hairy BTZ black hole. By applying the WKB approximation calculation of the states is being done which is used to determine free energy of the scalar field. It is seen that the entropy and the free energy are diverging logarithmically in both cut off parameters and these divergences can be engrossed in the renormalized equation of the gravitational constant. (paper)