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Scalar-Tensor Teleparallel Wormholes by Noether Symmetries

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arxiv 1608.03918 v2 pith:WXYOJ6IK submitted 2016-08-12 gr-qc

Scalar-Tensor Teleparallel Wormholes by Noether Symmetries

classification gr-qc
keywords geometricalnoethersymmetrieswormholesableadoptapproachbehavior
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A gravitational theory of a scalar field non-minimally coupled with torsion and 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 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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