Noise kernel for the Reissner-Nordstrom metric: Results at the Cauchy horizon

作者：Satin Seema^*

来源：PHYSICAL REVIEW D, 2016, 93(8): 084007.

DOI：10.1103/PhysRevD.93.084007

We obtain a point-separated noise kernel for the Reissner-Nordstrom metric. The noise kernel defines the fluctuations of the quantum stress tensor and is of central importance to semiclassical stochastic gravity. The metric is modeled as gravitationally collapsing spacetime, by using suitable coordinate transformations, defined earlier. The fluctuations of the quantum stress tensor, at the final stage of collapse, are then analyzed for both the naked singularity and black hole end states. The behavior of this noise kernel, at the Cauchy horizon (CH) for naked singularity, shows markedly different behavior from the self-similar Tolman-Bondi metric, which was obtained earlier. In the latter a very unique divergence was seen, which does not appear for the Reissner-Nordstrom metric here. It is known that the quantum stress tensor itself diverges at the CH for both of these metrics. In contrast, it can now be seen that the fluctuations of the stress tensor behave differently for the two cases. We give a discussion and further directions for investigations of this interesting behavior in the two cases (regarding the collapse scenario).

• 出版日期2016-4-6