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arXiv 1608.02115gr-qc
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用表面张力修正视界热力学

Modifying horizon thermodynamics by surface tensions

Deyou Chen, Xiaoxiong Zeng

摘要:

利用表面张力分别导出了SchwarzschilddeSitter黑洞视界和宇宙视界以及Friedmann-Robertson-Walker宇宙学视视界的修正热力学第一定律.服从相应的Smarr关系。对于黑洞,宇宙学常数首先被视为一个固定常数,然后被视为一个与压力相关的变量。视视界的定律与宇宙视界的定律形式相同,但与黑洞视界的定律不同。正温度保证了修正定律中的工作项在宇宙视界和表观视界上的出现。它们可以消失在黑洞的视界。

英文摘要:

The modified first laws of thermodynamics at the black hole horizon and the cosmological horizon of the Schwarzschild de Sitter black hole and the apparent horizon of the Friedmann-Robertson-Walker cosmology are derived by the surface tensions, respectively. The corresponding Smarr relations are obeyed. For the black hole, the cosmological constant is first treated as a fixed constant, and then as a variable associated to the pressure. The law at the apparent horizon takes the same form as that at the cosmological horizon, but is different from that at the black hole horizon. The positive temperatures guarantee the appearance of the worked terms in the modified laws at the cosmological and apparent horizons. While they can disappear at the black hole horizon.

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