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2007 | 111 | 2 | 201-213
Article title

Wormhole Solution and Energy in Teleparallel Theory of Gravity

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EN
Abstracts
EN
An 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}-1/2Tg_{ij}) u^iu^j, where u^iu_i=-1. From this solution which contains an arbitrary function we can generate the other two solutions obtained before. The associated metric of this space-time is a static Lorentzian wormhole and it includes the Schwarzschild black hole, a family of naked singularity and a disjoint family of Lorentzian wormholes. Calculating the energy content of this tetrad field and using the gravitational energy momentum given by Møller in the teleparallel space-time we find that the resulting form depends on the arbitrary function and does not depend on the two parameters k_1 and k_2 characterizing the wormhole. Using the regularized expression of the gravitational energy momentum we get the value of energy which does not depend on the arbitrary function.
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EN
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Year
Volume
111
Issue
2
Pages
201-213
Physical description
Dates
published
2007-02
received
2006-12-10
Contributors
author
  • Mathematics Department, Faculty of Science, Ain Shams University, Cairo, Egypt, Cairo, Egypt
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Publication order reference
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bwmeta1.element.bwnjournal-article-appv111n202kz
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