ENERGY DISTRIBUTION IN THE DYADOSPHERE OF A REISSNER–NORDSTRÖM BLACK HOLE IN MØLLER'S PRESCRIPTION

Abstract

The energy and momentum distributions in the dyadosphere of a Reissner–Nordström black hole are evaluated. The Møller'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–Nordström 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 and 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 Møller's prescription.