动态广义球对称含荷黑洞的量子熵

Quantum entropy of the general non-stationary black hole with charges

计算了广义球对称含荷黑洞视界上标量场的量子态数和自由能 ,得到了黑洞熵与视界面积成正比的结论 ,表明黑洞熵就是其视界上的量子态的熵 .考虑广义不确定原理对黑洞熵的影响 ,采用二维膜模型 ,克服了brick wall模型中的发散困难 ,计算中无须任何截断 ,且brick wall模型中的小质量近似也可以避免 .对视界外二维膜上的量子场的熵做了级数展开讨论 ,得到了一些值得探讨的结论 .

The quantum state number and free energy of the scalar field at the horizon of general non-stationary black hole with charges are calculated and the result shows that the entropy of black hole is proportional to the event horizon area. This implies that the black hole entropy is just identical to the entropy of the quantum field on the event horizon. Taking into account the effect of the generalized uncertainty principle on the black hole entropy and adopting the 2-D membrane model, the divergence in the brick-wall model is removed, without any cut-off, and the little mass approximations appear in the brick-wall model and the thin film model are removed. Calculating the scalar field on the 2-D membrane outside horizon by using progression method we obtained some interesting results.