From vacuum fluctuations to radiation. II. Black holes.
From vacuum fluctuations to radiation. II. Black holes.
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从真空波动到辐射。
DOI：
10.1103/physrevd.54.7444
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发表时间：
1996
期刊：
影响因子：
--
通讯作者：
R. Parentani
中科院分区：
文献类型：
--
作者：
S. Massar;R. Parentani
我们解决的问题的物理相关性的“trans-Planckian”频率发生在霍金辐射。我们首先表明，这些频率特征的能量动量张量的波动，其经常的平均值。通过考虑与霍金辐射的特定终态相关的能量密度，这些波动被隔离，并且它们的性质被获得。该条件能量密度用非对角矩阵元素表示，并且是复数。这些条件通量的动力学相关性，然后证明在S矩阵制剂的微扰理论的背景下。特别是，我们展示了如何使用这种分析来研究反反应的影响，以生产一个单一的量子。此外，这些条件通量提供了霍金量子从真空涨落中出现的历史描述。它表明，最初这些波动位于周围的类光测地线，将产生的地平线，并具有指数大的能量密度。在离开星星后，它们分裂成两部分。外部的一个发生红移，成为一个质量壳层量子，另一个，它的”伙伴”，在奇点中结束。
We address the problem of the physical relevance of the" trans-Planckian" frequencies which occur in Hawking radiation. We first show that these frequencies characterize the fluctuations of the energy-momentum tensor around its regular mean value. These fluctuations are isolated, and their properties obtained, by considering the energy density correlated to a specific final state of the Hawking radiation. This conditional energy density is expressed in terms of an off-diagonal matrix element and is complex. The dynamical relevance of these conditional fluxes is then proven in the context of perturbation theory in a S matrix formulation. In particular, we show how this analysis can be used to study back reaction effects to the production of a single quantum. Furthermore these conditional fluxes offer a historical description of the emergence of Hawking quanta from vacuum fluctuations. It is shown that initially these fluctuations are located around the lightlike geodesic that shall generate the horizon and have exponentially large energy densities. Upon exiting from the star they break up into two pieces. The external one is red shifted and becomes an on mass shell quantum, the other, its" partner," ends up in the singularity.