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arXiv · 0807.1132

On Energy Distribution of Two Space-times with Planar and Cylindrical Symmetries

Saeed Mirshekari·Amir M. Abbassi
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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.

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Saeed Mirshekari, Amir M. Abbassi. 2008-07-07. On Energy Distribution of Two Space-times with Planar and Cylindrical Symmetries. https://doi.org/10.1142/s0217751x09042608

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