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arXiv 0705.2068hep-th
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de Sitter空间中黑洞的霍金辐射

Hawking radiation from black holes in de Sitter spaces

Qing-Quan Jiang

摘要:

最近,Robinson和Wilczek把霍金辐射看作是能量动量张量的补偿通量,用以抵消Schwarzschild型黑洞事件视界(EH)的引力异常。本文在他们工作的启发下,利用反常方法研究了de Sitter空间中黑洞(包括纯de Sitter黑洞、静态球对称Schwarzschild-de Sitter黑洞和旋转Kerr-de Sitter黑洞)的事件视界(EH)和de Sitter宇宙学视界(CH)的霍金辐射.结果表明,在EH和CH处恢复规范不变性和广义坐标协变性所需的规范流通量和能量动量张量通量分别精确地等于EH和CH的霍金辐射通量。应该指出的是,在宇宙视界(CH)上发生的规范和引力反常是由于有效场论是在CH内形成的,它把CH上与经典无关的出射模积分掉,而不同于黑洞视界(EH)上的出射模。

英文摘要:

Recently, Hawking radiation has been treated, by Robinson and Wilczek, as a compensating flux of the energy momentum tensor required to cancel gavitational anomaly at the event horizon(EH) of a Schwarzschild-type black hole. In this paper, motivated by their work, Hawking radiation from the event horizon(EH) and the de Sitter cosmological horizon(CH) of black holes in de Sitter spaces, specifically including the purely de Sitter black hole, and the static, spherically symmetric Schwarzschild-de Sitter black hole as well as the rotating Kerr-de Sitter black hole, has been studied by anomalies. The result shows that the gauge current and energy momentum tensor fluxes, required to restore gauge invariance and general coordinate covariance at the EH and the CH, are precisely equal to those of Hawking radiation from the EH and the CH, respectively. It should be noted that, gauge and gravitational anomalies taken place at the cosmological horizon(CH) arise from the fact that the effective field theory is formulated inside the CH to integrate out the classically irrelevant outgoing modes at the CH, which is different from those at the black hole horizon(EH).

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