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arXiv 1109.0198gr-qchep-th
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旋转黑洞的可压缩性

Compressibility of rotating black holes

Brian P. Dolan

摘要:

将宇宙学常数解释为压力,其共轭变量是体积,修改了黑洞热力学第一定律。研究了所得热力学体积的性质:在非正宇宙学常数的情况下,导出了黑洞的可压缩性和声速。绝热可压缩性对于非旋转黑洞为零,在极端情况下为最大-与冷中子星的绝热可压缩性相当,但仍小于后者。声速$v_s$与绝热压缩性有关,对于非旋转黑洞,它等于$c$,并随着角动量的增加而减小。当宇宙学常数为零时,极端黑洞具有$v_s^2=0.9 \,c^2$,更一般地,$v_s$的下界为$c/ {\sqrt 2}$。

英文摘要:

Interpreting the cosmological constant as a pressure, whose thermodynamically conjugate variable is a volume, modifies the first law of black hole thermodynamics. Properties of the resulting thermodynamic volume are investigated: the compressibility and the speed of sound of the black hole are derived in the case of non-positive cosmological constant. The adiabatic compressibility vanishes for a non-rotating black hole and is maximal in the extremal case --- comparable with, but still less than, that of a cold neutron star. A speed of sound $v_s$ is associated with the adiabatic compressibility, which is is equal to $c$ for a non-rotating black hole and decreases as the angular momentum is increased. An extremal black hole has $v_s^2=0.9 \,c^2$ when the cosmological constant vanishes, and more generally $v_s$ is bounded below by $c/ {\sqrt 2}$.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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