Configurational Entropy and braneworlds in f(T,B) gravity

TL;DR

This paper explores phase transitions and internal structures in a thick brane model within f(T,B) gravity using Differential Configurational Entropy to identify stable solutions and predict phase transition points.

Contribution

It introduces the application of Differential Configurational Entropy to analyze phase transitions and stability in f(T,B) gravity brane models, revealing internal structures and multiple phase transitions.

Findings

Brane splitting leads to internal structures and domain walls.

Multiple phase transitions are identified for certain parameter values.

DCE predicts critical points and stability of solutions.

Abstract

The thick brane scenario built on the f(T,B) teleparallel gravity theory was considered for the study of phase transitions, internal structures, and new classes of solutions in a model. In this theory, T denotes the torsion scalar, and B is a boundary term. An interesting result was observed when brane splitting occurs, i. e., internal structures in the model arise as a consequence of the appearance of new domain walls in the theory. In fact, this preliminary result influences the profile of the matter field (from kink to multi-kink) so that for appropriate values of the parameters $k_{1,2}$ multiple phase transitions are identified. To perform this analysis, the Differential Configurational Entropy (DCE) which has the ability to predict the existence of phase transitions through critical points was used. Furthermore, the DCE is able to select the most stable solutions since it gives us details about the informational content of the field settings.