论文标题
在渐近非平板黑洞空间时的非平凡量子波动
Non-trivial quantum fluctuations in asymptotically non-flat black-hole space-times
论文作者
论文摘要
霍金辐射仍然是半古典引力的至关重要的理论预测，被认为是量子重力模型的关键测试之一。但是，霍金的原始推导在固定背景上使用了量子场理论。已经努力包括由重力自由度本身量化的时空波动，并研究对鹰颗粒的影响。使用半古典分析，我们研究了标量场应力调节器在渐近非灯球球形对称的黑洞空间时间中的量子波动的影响。使用两种不同的方法，我们从地平线上获得了一个临界长度尺度，在该视野中，重力相互作用变大，即，当由于标量场引起的反应对公制变为显着时。对于4-D Schwarzschild Ads（SADS）和Schwarzschild de Sitter（SDS），反反应的相关模式的数量仅适用于M/L的特定值范围（其中M是黑洞的质量，L是黑洞的质量，L与宇宙常数的模量有关）。对于SADS（SDS），相关模式的数量是M/L $ \ sim $ 1（0.2 <m/l <$ \ frac {1} {3 \ sqrt {3}} $）的无限。我们讨论了这些结果对黑洞蒸发晚期阶段的含义。
Hawking radiation remains a crucial theoretical prediction of semi-classical gravity and is considered one of the critical tests for a model of quantum gravity. However, Hawking's original derivation used quantum field theory on a fixed background. Efforts have been made to include the spacetime fluctuations arising from the quantization of the dynamical degrees of freedom of gravity itself and study the effects on the Hawking particles. Using semi-classical analysis, we study the effects of quantum fluctuations of scalar field stress-tensors in asymptotic non-flat spherically symmetric black-hole space-times. Using two different approaches, we obtain a critical length-scale from the horizon at which gravitational interactions become large, i.e., when the back reaction to the metric due to the scalar field becomes significant. For 4-D Schwarzschild AdS (SAdS) and Schwarzschild de Sitter (SdS), the number of relevant modes for the back-reaction is finite only for a specific range of values of M/L (where M is the mass of the black-hole, and L is related to the modulus of the cosmological constant). For SAdS (SdS), the number of relevant modes is infinite for M/L $\sim$ 1 (0.2 < M/L < $\frac{1}{3\sqrt{3}}$). We discuss the implications of these results for the late stages of black-hole evaporation.
