Table of Contents
International Scholarly Research Notices
Volume 2015, Article ID 109329, 4 pages
http://dx.doi.org/10.1155/2015/109329
Research Article

Black Plane Solutions and Localized Gravitational Energy

Department of Mathematics, Physics and Statistics, University of the Sciences in Philadelphia, 600 S. 43rd Street, Philadelphia, PA 19104, USA

Received 14 June 2015; Revised 30 July 2015; Accepted 2 August 2015

Academic Editor: Elias C. Vagenas

Copyright © 2015 Paul Halpern and Jennifer Roberts. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We explore the issue of gravitational energy localization for static plane-symmetric solutions of the Einstein-Maxwell equations in 3+1 dimensions with asymptotic anti-de Sitter behavior. We apply three different energy-momentum complexes, the Einstein, Landau-Lifshitz, and Møller prescriptions, to the metric representing this category of solutions and determine the energy distribution for each. We find that the three prescriptions offer identical energy distributions, suggesting their utility for this type of model.