Energy distribution in the dyadosphere of a Reissner-Nordstrom black hole in Moller's prescription

TL;DR

This paper calculates the energy distribution around a charged black hole's dyadosphere using Moller's energy-momentum complex, incorporating quantum corrections from vacuum fluctuations, and compares results with existing literature.

Contribution

It introduces a modified Reissner-Nordstrom metric accounting for one-loop QED effects and applies Moller's prescription to evaluate energy distribution in this context.

Findings

Energy distribution is affected by vacuum fluctuations.

A connection between Einstein's and Moller's energy coefficients is proposed.

Results are consistent with existing literature on black hole energy distributions.

Abstract

The energy and momentum distributions in the dyadosphere of a Reissner-Nordstrom black hole are evaluated. The Moller's energy-momentum complex is employed for this computation. The spacetime under study is modified due to the effects of vacuum fluctuations in the dyadosphere. Therefore, the corrected Reissner-Nordstrom black hole metric takes into account the first contribution of the weak field limit of one-loop QED. Furthermore, a comparison and a consequent connection between our results that those already existing in the literature is provided. We hypothesize that when the energy distribution is of specific form there is a relation that connects the coefficients in the Einstein's prescription with those in the Moller's prescription.