Reissner-Nordstrom black-hole entropy without brick walls

The properties of the thermal radiation are discussed by using the new equation of state density motivated by the generalized uncertainty relation in the quantum gravity. There is no burst at the last stage of the emission of the Reissner-Nordstrom black hole. When the new equation of state density is utilized to investigate the entropy of a bosonic field and a fermionic field outside the horizon of a static Reissner-Nordstrom black hole, the divergence appearing in the brick wall model is removed, without any cut-off. The entropy proportional to the horizon area is derived from the contribution of the vicinity of the horizon.