Regular solutions in $f(T)$-Yang-Mills theory

Understand

We consider extended covariant teleparallel $(f(T))$ gravity whose action is analytic in the torsion scalar and which is sourced by an $su(2)$ valued Yang-Mills field.

• Specifically, we search for regular solutions to the coupled $f(T)$ Yang-Mills system.
• For $f(T)=T$ we, not surprisingly, recover the Bartnik-McKinnon solitons of Einstein Yang-Mills theory.
• However, interesting effects are discovered with the addition of terms in the action which are nonlinear in the torsion scalar, which we specifically study up to cubic order.