Generalized uncertainty principle and the quantum entropy of a Kerr black hole

摘要

Taking into account the generalized uncertainty principle (CUP), we calculate the entropy of a scalar field in a Kerr spacetime. Different to previous work, we have used an new equation of the density of quantum states, which arises from the modified commutation relation [(x) over cap, (p) over cap] = ih(1 + lambda(p) over cap (2)). The divergence in the brick wall model is removed, without the cutoff.