On Energy Distribution of Two Space-times with Planar and Cylindrical Symmetries
Abstract
Considering encouraging Virbhadra's results about energy distribution of non-static spherically symmetric metrics in Kerr-Schild class, it would be interesting to study some space-times with other symmetries. Using different energy-momentum complexes, i.e. M{\o}ller, Einstein, and Tolman, in static plane-symmetric and cylindrically symmetric solutions of Einstein-Maxwell equations in 3+1 dimensions, energy (due to matter and fields including gravity) distribution is studied. Energy expressions are obtained finite and well-defined. calculations show interesting coincidences between the results obtained by Einstein and Tolamn prescriptions. Our results support the Cooperstock hypothesis about localized energy.
Keywords
Cite
@article{arxiv.0807.1132,
title = {On Energy Distribution of Two Space-times with Planar and Cylindrical Symmetries},
author = {Saeed Mirshekari and Amir M. Abbassi},
journal= {arXiv preprint arXiv:0807.1132},
year = {2014}
}
Comments
LaTex, 9 pages: corrected typos, added references