Casimir traversable wormholes for GUP corrected energy densities in f(T) gravity

Traversable wormholes are always supported by negative energy and therefore an exotic matter source is required for their principle existence. In this work, we consider Casimir energy density as an exotic matter source in the framework of f(T) gravity. In this way, we examine the behavior of shape function, equation of state parameters, energy conditions and stability conditions for wormhole geometry in teleparallel and f(T) gravity. We also assume three different generalized uncertainty principle corrected Casimir wormhole models. We analyze the effect of the generalized uncertainty principle minimal parameter on the constructed wormhole properties in f(T) gravity.

Automated summary

This work examines the properties of wormholes in the framework of f(T) gravity, using Casimir energy density as an exotic matter source. The behavior of shape function, equation of state parameters, energy conditions, and stability conditions for wormholes are analyzed. The study also investigates the impact of the generalized uncertainty principle on wormhole properties in f(T) gravity.