Geometrically contracted structure in teleparallel f(T) gravity

In the teleparallel f(T) 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 f(T). Indeed, some polynomial profiles can produce internal structures for which a brane splitting occurs. For functions f(T) with this capability, geometrically contracted matter field configurations are obtained. These contractions of the matter field for the profiles of f(T) 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 f(T).

Automated summary

In this study, we investigate a five-dimensional thick brane in the teleparallel f(T) gravity scenario. This scenario is interesting as it can explain inflation, radiation, and dark matter phenomena under certain conditions. We assume a polynomial profile of the function f(T) for convenience, and some polynomial profiles can produce brane splitting. Geometrically contracted matter field configurations are obtained for functions f(T) with this capability. The stability of the brane is analyzed using Configurational Entropy (CE), which helps to identify the best profile of the function f(T).