New Traversable Wormholes Solutions in f(T) Gravity
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Date
2018-09-08
Journal Title
Journal ISSN
Volume Title
Publisher
arXiv
Abstract
In this paper we search for dynamical traversable wormhole solution in the modified f(T ) theory of gravity, T being the torsion scalar. For such wormhole, the time dependence is inserted in the static traversable wormhole metric of Morris and Thore. Two set of tetrads are adopted: the diagonal and the non-diagonal tetrads. The diagonal set of tetrads constrains and reduces f(T ) model to teleparallel theory where usual solutions have been found. With diagonal set of tetrads, free from the teleparallel theory constraint, our results show that the existence of traversable wormhole is possible only for non-dynamical spacetime metric, i.e, static traversable wormhole solutions. Moreover we take into account energy condition analysis and the results show that the violation of NEC is not determinant for existence of static traversable wormhole solutions.
Description
Wormhole is known as a hypothetical object behaving like a tunnel or bridge that provides a connection between two different universes. The main challenge about the existence of wormhole is generally focused on the energy conditions and appears as an interesting topic is gravitation. Traversable wormhole concept has first introduced by Morris and Thore [1].
Keywords
Wormhole, theory of gravity, tetrads, torsion scalar, Tele-Parallel gravitational term, Non-diagonal tetrad
Citation
R. C. Tefo, P. H. Logbo, M. J. S. Houndjo, J. Tossa. (2018). New Traversable Wormholes Solutions in f(T) Gravity. Pg 1-12.