摘要
从 Schwarzschild- de Sitter时空背景下的 Klein- Gordon方程出发 ,利用 brick- wall方法计算了黑洞的自由能和熵 .这种黑洞由于存在两个视界面 ,而且它们的温度不相同 ,因此用一般方法计算熵存在着一定的困难 .采用改进的 brick- wall模型 ,认为自由能和熵主要来自于视界附近薄层的贡献 ,很好地解决了这一困难 ,并得到了满意的结果 .结果表明 ,这种黑洞的熵为它的两个视界面积之和的 1 /4,与人们预期的结果相符 .由此可见 ,渐近 de Sitter时空中的黑洞熵除了黑洞视界面的贡献之外 ,还应包括宇宙视界面的贡献 .这从一定程度上揭示了黑洞熵与视界面积之间的内在联系 ,也更进一步地揭示了 brick-
Thinking of Klein Gordon equation in Schwarzschild de Sitter spacetime, the authors calculate the free energy and entropy of this kind of black hole via brick wall method. It is difficult to calculate the free energy because there are two horizons whose temperature is different from one another. Taking improved brick wall model, which means that the free energy and entropy are mainly from a thin layer close to the horizon, the authors overcame the problem successfully and got a good result. It is found that the entropy of this system is 1/4 of the sum of the areas of the two event horizons. This is coincided to the result expected. The entropy of this system not only includes the contribution of the black hole horizon, but also includes the contribution of the cosmological horizon. It is found that there is an internal relation between the event horizon and the entropy. The authors also understand more about what is the brick wall model.
出处
《数学物理学报（A辑）》
CSCD
北大核心
2003年第2期169-174,共6页
Acta Mathematica Scientia
基金
国家自然科学基金 ( 1 9773 0 0 3 )
教育部博士点基金( 960 0 2 70 1 )资助
