Scalar-Tensor Teleparallel Wormholes by Noether Symmetries
Sebastian Bahamonde, Ugur Camci, Salvatore Capozziello, Mubasher, Jamil
TL;DR
This paper explores Lorentzian wormholes within a scalar-tensor teleparallel gravity framework, utilizing Noether symmetries to derive solutions and analyze their geometric properties.
Contribution
It introduces a novel application of Noether gauge symmetry to construct and analyze wormhole solutions in scalar-tensor teleparallel gravity.
Findings
Derived shape and redshift functions for wormholes
Identified conserved quantities via Noether symmetries
Analyzed geometrical behavior of the solutions
Abstract
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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