Charged Axially Symmetric Solution and Energy in Teleparallel Theory Equivalent to General Relativity

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dc.creatorNashed, Gamal Gergess Lamee
dc.date2007-06-02
dc.date.accessioned2026-07-07T10:36:01Z
dc.date.available2026-07-07T10:36:01Z
dc.descriptionAn exact charged solution with axial symmetry is obtained in the teleparallel equivalent of general relativity (TEGR). The associated metric has the structure function $G(ξ)=1-ξ^2-2mAξ^3-q^2A^2ξ^4$. The fourth order nature of the structure function can make calculations cumbersome. Using a coordinate transformation we get a tetrad whose metric has the structure function in a factorisable form $(1-ξ^2)(1+r_{+}Aξ)(1+r_{-}Aξ)$ with $r_{\pm}$ as the horizons of Reissner-Nordstr$\ddot{o}$m space-time. This new form has the advantage that its roots are now trivial to write down. Then, we study the singularities of this space-time. Using another coordinate transformation, we obtain a tetrad field. Its associated metric yields the Reissner-Nordstr$\ddot{o}$m black hole. In Calculating the energy content of this tetrad field using the gravitational energy-momentum, we find that the resulting form depends on the radial coordinate! Using the regularized expression of the gravitational energy-momentum in the teleparallel equivalent of general relativity we get a consistent value for the energy.
dc.description15 pages, Latex
dc.identifierhttps://arxiv.org/abs/0706.0260
dc.identifierhttp://arxiv.org/abs/0706.0260
dc.identifierEur.Phys.J.C49:851-857,2007
dc.identifierdoi:10.1140/epjc/s10052-006-0154-x
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/179917
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleCharged Axially Symmetric Solution and Energy in Teleparallel Theory Equivalent to General Relativity
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