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Cylindrically Symmetric Solution in Teleparallel Theory

Cylindrically Symmetric Solution in Teleparallel Theory
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摘要 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 MФller in the framework of teleparallel geometry. The energy contained in a sphere is found to be different from the pervious results. 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 MФller in the framework of teleparallel geometry. The energy contained in a sphere is found to be different from the pervious results.
出处 《Chinese Physics Letters》 SCIE CAS CSCD 2010年第10期30-33,共4页 中国物理快报(英文版)
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