First Order Formalism for Thick Branes in Modified Teleparallel Gravity

Understand

This work deal with braneworld scenarios with generalized teleparallel gravity.

• We extend a recent investigation, where the model studied was described by $F(T)=T+k T^n$.
• In the current study, we introduce the first-order formalism to find analytical solutions for models that include scalar field with standard and generalized dynamics.
• In particular, we describe the interesting case in which the brane splits, due to the parameters that control deviation from the standard model.