Noise Kernel for Reissner Nordstrom Metric: Results at Cauchy Horizon

Abstract

We obtain point separated Noise Kernel for the Reissner Nordström 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 analysed for both, the naked singularity and black hole end states. The behavior of this Noise Kernel, at the Cauchy Horizon for naked singularity shows markedly different behaviour from 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 Nordström metric, here . It is known that the quantum stress tensor itself, diverges at the Cauchy Horizon (CH) for both of these metrics . In contrast, it can now be seen that the the fluctuations of the stress tensor behave differently for the two cases. We give a discussion and further directions for investigations of this interesting behaviour in the two cases (regarding the collapse scenario).

References in corpus (4)

• Time delay and magnification centroid due to gravitational lensing by black holes and naked singularities
• Probability distributions for quantum stress tensors in four dimensions
• A naked singularity stable under scalar field perturbations
• Noise Kernel for Self-similar Tolman Bondi Metric: Fluctuations on Cauchy Horizon

Cited by in corpus (2)

• Correspondences of matter fluctuations in semiclassical and classical gravity for cosmological spacetime
• Correspondences of matter fluctuations in semiclassical and classical gravity for cosmological spacetime-II