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Scalar-tensor teleparallel wormholes by Noether symmetries

Sebastián BahamondeDepartment of Mathematics, University College London, Gower Street, London WC1E 6BT, United KingdomUğur CamcıDepartment of Physics, Faculty of Sciences, Akdeniz University, 07058 Antalya, TurkeySalvatore CapozzıelloDipartimento di Fisica, Universitá di Napoli Federico II, I-80126 Napoli, ItalyMubasher JamilDepartment of Mathematics, School of Natural Sciences (SNS), National University of Sciences and Technology (NUST), H-12 Islamabad, Pakistan
2016en
ABI

Аннотация

A gravitational theory of a scalar field nonminimally coupled with torsion and a boundary term is considered with the aim to construct Lorentzian wormholes. Geometrical parameters including shape and redshift functions are obtained for these solutions. We adopt the formalism of the Noether gauge symmetry approach in order to find symmetries, Lie brackets and invariants (conserved quantities). Furthermore by imposing specific forms of potential function, we are able to calculate metric coefficients and discuss their geometrical behavior.

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