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arXiv 0811.4296gr-qc
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Kerr-Newman黑洞动力学和热力学分析的一种简单近似方法

A Simple, Approximate Method for Analysis of Kerr-Newman Black Hole Dynamics and Thermodynamics

Vladan Pankovic, Sima Ciganovic, Rade Glavatovic

摘要:

本文提出了一种简单的近似方法来分析Kerr-Newman黑洞的基本动力学和物理特性。代替完整的动力学的黑洞自相互作用,我们只考虑这样的稳定(静态)动力学的情况下,由条件所确定的黑洞(外)视界周长持有的约化康普顿波长的整数对应于一个小量子系统的质谱(代表quant的黑洞自相互作用)。然后,我们证明了Kerr-Newman黑洞熵简单地表示为黑洞质量的静态部分和旋转部分之和与小量子系统的基态质量之商.我们还证明了Kerr-Newman黑洞温度代表了一部分质量约化的黑洞与处于基态质量量子态的小量子系统之间引力相互作用的经典势能的负值。最后,给出了以(宏观)黑洞为热库的热力学平衡小量子系统统计系综的玻色大正则分布。我们认为,实际上,只有基态量子态是显著简并的,而所有其他激发态的质量量子态是非简并的。Kerr-Newman黑洞熵实际上等价于基态质量的量子态简并。给定的统计分布承认一个粗略的(定性),但简单的模型霍金辐射的黑洞了。

英文摘要:

In this work we present a simple, approximate method for analysis of the basic dynamical and thermodynamical characteristics of Kerr-Newman black hole. Instead of the complete dynamics of the black hole self-interaction we consider only such stable (stationary) dynamical situations determined by condition that black hole (outer) horizon circumference holds the integer number of the reduced Compton wave lengths corresponding to mass spectrum of a small quantum system (representing quant of the black hole self-interaction). Then, we show that Kerr-Newman black hole entropy represents simply the quotient of the sum of static part and rotation part of mass of black hole on the one hand and ground mass of small quantum system on the other hand. Also we show that Kerr-Newman black hole temperature represents the negative value of the classical potential energy of gravitational interaction between a part of black hole with reduced mass and small quantum system in the ground mass quantum state. Finally, we suggest a bosonic great canonical distribution of the statistical ensemble of given small quantum systems in the thermodynamical equilibrium with (macroscopic) black hole as thermal reservoir. We suggest that, practically, only ground mass quantum state is significantly degenerate while all other, excited mass quantum states are non-degenerate. Kerr-Newman black hole entropy is practically equivalent to the ground mass quantum state degeneration. Given statistical distribution admits a rough (qualitative) but simple modeling of Hawking radiation of the black hole too.

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