Geometrically contracted structure in teleparallel f(T) gravity

Abstract

In the teleparallel [Formula: see text] gravity scenario, we consider a five-dimensional thick brane. This scenario is interesting because this theory can provide explanations for inflation, radiation and dark matter under certain conditions. It is convenient to assume, for our study, a polynomial profile of the function [Formula: see text]. Indeed, some polynomial profiles can produce internal structures for which a brane splitting occurs. For functions [Formula: see text] with this capability, geometrically contracted matter field configurations are obtained. These contractions of the matter field for the profiles of [Formula: see text] reproduce compact-like settings. To complement the study, we analyze the stability of the brane using the concept of Configurational Entropy (CE). The CE arguments are interesting because they tell us the most stable and likely configurations from the brane in this gravitational background. Therefore, we can indicate the best profile of the function [Formula: see text].