Energy distribution in the dyadosphere of a charged black hole

TL;DR

This paper calculates the energy distribution in the dyadosphere of a charged black hole, showing that multiple energy-momentum prescriptions agree on the results, enhancing understanding of black hole energetics.

Contribution

It provides the first detailed energy distribution analysis in the dyadosphere of a Reissner-Nordström black hole using various energy-momentum complexes.

Findings

Different prescriptions yield consistent energy distributions.

Energy distribution is explicitly calculated in the dyadosphere.

Supports the validity of multiple energy-momentum complexes in black hole physics.

Abstract

The event horizon of a charged black hole is, according to Ruffini\cite{Ruffini} and Preparata \emph{et al.}\cite{PreparataEtAl}, surrounded by a special region called the \emph{dyadosphere} where the electromagnetic field exceeds the Euler-Heisenberg critical value for electron-positron pair production. We obtain the energy distribution in the dyadosphere region for a Reissner-Nordstr\"{o}m black hole. We find that the energy-momentum prescriptions of Einstein, Landau-Lifshitz, Papapetrou, and Weinberg give the same and acceptable energy distribution.