广义不确定原理对一般静态黑洞熵的影响

把广义不确定原理引入黑洞熵的计算,采用薄膜brick-wall模型,对一般静态黑洞外部标量场的熵进行了计算,得到了熵计算公式.应用该公式结果表明,可以得到已知所有静态黑洞的Bekenstein-Hawking熵.作为比较和进一步研究,对视界面上的二维膜的熵进行计算,可以更方便和一般性地得到熵与视界面积成正比的结论,该讨论可直接表明黑洞熵就是其视界面上的量子态的熵.与原始brick-wall模型不同的是,这一结论是有限的,计算中无需引入截断,且小质量近似也可以避免.

GENERALIZED UNCERTAINTY PRINCIPLE INFLUENCES THE ENTROPY OF GENERALIZED STATIC BLACK HOLE

Taking into account the effect of the generalized uncertainty principle on the entropy of black hole and adopting the thin film brick-wall model, the entropy of the quantum scalar field in generalized static black holes is calculated. The general formula for the entropy is obtained. And by using the formula the Bekenstein-Hawking entropy of all static black holes can be obtained. With comparison and improved study, the entropy of 2-D membrane just at the static black hole horizon is calculated and the result of black hole entropy proportional to the its horizon area can be obtained more easily and generally. This discussion shows that black hole entropy is just identified with the entropy of the quantum field on the horizon. The difference from the original brick-wall model is that our result is convergent without any cutoff and the little mass approximation is removed.