Wormhole solution and Energy in Teleparallel Theory of Gravity

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dc.creatorNashed, Gamal G. L.
dc.date2005-08-19
dc.date2007-08-13
dc.date.accessioned2026-07-07T08:23:13Z
dc.date.available2026-07-07T08:23:13Z
dc.descriptionAn exact solution is obtained in the tetrad theory of gravitation. This solution is characterized by two-parameters $k_1, k_2$ of spherically symmetric static Lorentzian wormhole which is obtained as a solution of the equation $ρ=ρ_t=0$ with $ρ=T_{i,j}u^iu^j$, $ρ_t=(T_{ij}-\displaystyle{1 \over 2}Tg_{ij}) u^iu^j$ where $u^iu_i=-1$. From this solution which contains an arbitrary function we can generates the other two solutions obtained before. The associated metric of this spacetime is a static Lorentzian wormhole and it includes the Schwarzschild black hole, a family of naked singularity and a disjoint family of Lorentzian wormholes. Calculate the energy content of this tetrad field using the gravitational energy-momentum given by Møller in teleparallel spacetime we find that the resulting form depends on the arbitrary function and does not depend on the two parameters $k_1$ and $k_2$ characterize the wormhole. Using the regularized expression of the gravitational energy-momentum we get the value of energy does not depend on the arbitrary function.
dc.description11 pages Latex
dc.identifierhttps://arxiv.org/abs/gr-qc/0508079
dc.identifierhttp://arxiv.org/abs/gr-qc/0508079
dc.identifierActa Physica Ploinica A111 (2007), 201
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/135917
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleWormhole solution and Energy in Teleparallel Theory of Gravity
dc.typetext

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