The quantum statistical entropy of dynamic black holes with 6-D spherical symmetry

Using the membrane model developed with the brick-wall method, the free energy and bosonic entropy of the six-dimensional (6-D) dynamic black hole are computed. Then by applying the method of Γ-matrix the entropy of fermions is calculated. The results show that for the 6-D dynamic black hole the entropies of bosons and fermions have the same expressions, and they differ only by a coefficient. Moreover, they both satisfy the Bekenstein-Hawking relation between entropy and area.