Divergences problem in black hole brick - wall model

In this work we review, in the framework of the so-called brick wall model, the divergence problem arising in the one loop calculations of various thermody-namical quantities, like entropy, internal energy and heat capacity. Particularly we find that, if one imposes that entanglement entropy is equal to the Bekenstein-Hawking one, the model gives problematic results. Then a proposal of solution to the divergence problem is made following the zeroth law of black hole mechanics.