Scalar-Tensor Teleparallel Wormholes by Noether Symmetries

Understand

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.