考虑非可加性的黑洞的微正则分布
Microcanonical distribution for black hole with allowance for nonadditivity
摘要:
它表明,与津贴的非加性的(正则)分布的黑洞转换到(微正则)分布,它取决于非加性积分的运动,并表示一个非线性函数的能量-黑洞质量的平方。通过与标准微正则分布的比较,发现黑洞的统计权应与黑洞面积成正比。提出了与统计权一致的黑洞熵的定义。
英文摘要:
It is shown that with allowance for nonadditivity the (canonical) distribution for a black hole transforms to a (microcanonical) distribution which depends on nonadditive integrals of the motion and represents a nonlinear function of energy - the square of black hole mass. From a comparison with the standard microcanonical distribution it is found that the statistical weight of black hole should be proportional to the black hole area. A definition of the black hole entropy consistent with the statistical weight is proposed.
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