Entropy of Cylindrical Black Hole
柱黑洞的熵

Using the new equation of state density motivated by the generalized uncertainty relation, the authors derive the entropy of the black cylinder on the background of the cylindrically symmetric spacetime. When the new equation of state density is utilized to obtain that the entropy of the black cylinder is proportional to the horizon area, the divergence appearing in the brick wall model is removed, without any cutoff. It is shown that black cylinder's entropy is the entropy of quantum state on the surface of horizon. The black cylinder's entropy is a kind of quantum effect. It is the intrinsic property of the black cylinder. Via the method of quantum statistics, the authors directly derive the partition functions of Bosonic and Fermi field in black cylinder. The authors also avoid the difficult to solve the wave equation of various particles. The authors offer a new simple and direct way of calculating the entropy of black cylinders of different complicated spacetime.