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arXiv 1301.4532gr-qc
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Schwarzschild-de Sitter时空中的质量函数和粒子产生

Mass function and particle creation in Schwarzschild-de Sitter spacetime

Sourav Bhattacharya, Amitabha Lahiri

摘要:

在黑洞和宇宙学事件视界之间的区域,我们构造了非Nariai类Schwarzschild-de Sitter黑洞时空的质量或能量函数.质量函数是局部的、正定的、连续的,并且随着离黑洞事件视界的径向距离单调增加。利用该质量函数导出了Smarr公式,并证明了该质量函数再现了两温Schwarzschild-de Sitter黑洞热力学,同时还包含了一个对应于正宇宙学常数引起的负压项.我们进一步给出了由两个视界产生粒子的场论推导,并讨论了它与质量函数的关系。

英文摘要:

We construct a mass or energy function for the non-Nariai class Schwarzschild-de Sitter black hole spacetime in the region between the black hole and the cosmological event horizons. The mass function is local, positive definite, continuous and increases monotonically with the radial distance from the black hole event horizon. We derive the Smarr formula using this mass function, and demonstrate that the mass function reproduces the two-temperature Schwarzschild-de Sitter black hole thermodynamics, along with a term corresponding to the negative pressure due to positive cosmological constant. We further give a field theoretic derivation of the particle creation by both the horizons and discuss its connection with the mass function.

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