利用广义不确定关系计算Reissner-Nordstrm-de Sitter黑洞的统计力学熵

Statistical entropy of reissner-nordstrm-de sitter black hole by generalized uncertainty principle

利用广义不确定关系修正的态密度方程并采用Wentzel-Kramers-Brillouin(WKB)近似方法,计算了Reissner-Nordstrm-de Sitter(RNdS)黑洞时空中标量场的统计力学熵.结果表明,由这种方法得到的黑洞熵与它的内、外视界面积和宇宙视界面积之和成正比,这与采用其他方法所得的结果一致,从而揭示了黑洞熵与视界面积之间的内在联系,也进一步表明了黑洞熵是视界面上量子态的熵,是一种量子效应.

Statistical entropy of scalar field outside Reissner-Nordstrm-de Sitter black hole is computed by the equation of state density corrected by the generalized uncertainty principle and by Wentzel-Kramers-Brillouin approximation method.The result shows that the entropy is proportional to the sum of the internal,the external and the cosmological horizon areas,which accords with these calculated by other methods.It shows internal relation between the entropy of black hole and horizon area.The entropy of black hole is the entropy of quantum state on horizon,which is a quantum effect.