Energy Distribution of Black Plane Solutions

TL;DR

This paper calculates the energy distribution of static plane-symmetric Einstein-Maxwell solutions with anti-de Sitter asymptotics, comparing it to Reissner-Nordstrom-AdS and discussing implications for the Cooperstock hypothesis.

Contribution

It introduces a method to compute energy distribution for plane-symmetric solutions with specific parameters and compares these results to known solutions, highlighting qualitative differences.

Findings

Energy distribution depends on mass, charge, and cosmological constant.

Qualitative differences observed compared to Reissner-Nordstrom-AdS solutions.

Results analyzed in the context of the Cooperstock hypothesis.

Abstract

We use the Einstein energy-momentum complex to calculate the energy distribution of static plane-symmetric solutions of the Einstein-Maxwell equations in 3+1 dimensions with asymptotic anti-de Sitter behavior. This solution is expressed in terms of three parameters: the mass, electric charge and cosmological constant. We compare the energy distribution to that of the Reissner-Nordstrom-anti-de Sitter solution, pointing to qualitative differences between the models. Finally, we examine these results within the context of the Cooperstock hypothesis.