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Cylindrically Symmetric Solution in Teleparallel Theory |
| Gamal G. L. Nashed1,2
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1Centre for Theoretical Physics, The British University in Egypt, El-Sherouk City, Misr-Ismalia Desert Road, Postal No 11837, PO Box 43, Egypt
2Mathematics Department, Faculty of Science, Ain Shams University, Cairo, Egypt
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| Cite this article: |
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Gamal G. L. Nashed 2010 Chin. Phys. Lett. 27 100401 |
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Abstract The field equations of a special class of teleparallel theory of gravitation and electromagnetic fields are applied to tetrad space having cylindrical symmetry with four unknown functions of radial coordinate r and azimuth angle θ. The vacuum stress−energy momentum tensor with one assumption concerning its specific form generates one non-trivial exact analytic solution. This solution is characterized by a constant magnetic field parameter B0. If B0=0, then the solution will reduce to the flat spacetime. The energy content is calculated using the superpotential given by Møller in the framework of teleparallel geometry. The energy contained in a sphere is found to be different from the pervious results
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04.50.+h
98.80.Cq
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Received: 16 December 2009
Published: 26 September 2010
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| PACS: |
04.50.+h
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98.80.Cq
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(Particle-theory and field-theory models of the early Universe (including cosmic pancakes, cosmic strings, chaotic phenomena, inflationary universe, etc.))
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