Axially symmetric-dS solution in teleparallel \(f(T)\) gravity theories
type: Item
instance of: scholarly article
title: Axially symmetric-dS solution in teleparallel \(f(T)\) gravity theories
zbMATH Open document ID: 1433.83035
DOI: 10.1155/2015/915928
author: Gamal G. L. Nashed
published in: Advances in High Energy Physics
publication date: 2015-11-06T00:00:00Z
review text: Summary: We apply a tetrad field with six unknown functions to Einstein field equations. Exact vacuum solution, which represents axially symmetric-dS spacetime, is derived. We multiply the tetrad field of the derived solution by a local Lorentz transformation which involves a generalization of the angle \(\phi\) and get a new tetrad field. Using this tetrad, we get a differential equation from the scalar torsion \(T=T^\alpha_{\mu\nu}S_\alpha^{\mu\nu}\). Solving this differential equation we obtain a solution to the \(f(T)\) gravity theories under certain conditions on the form of \(f(T)\) and its first derivatives. Finally, we calculate the scalars of Riemann Christoffel tensor, Ricci tensor, Ricci scalar, torsion tensor, and its contraction to explain the singularities associated with this solution.
Mathematics Subject Classification ID: 83D05
Mathematics Subject Classification ID: 83C15
zbMATH DE Number: 6505187
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/915928
OpenAlex ID: W2054141035
Wikidata QID: Q59101966
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description: scientific article; zbMATH DE number 6505187