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

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.

20 pages,10 captioned figures. Updated version to match accepted one in IJMPD. Title changed. Minor modifications

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Cited by in corpus (7)

• The effective field theory approach to the strong coupling issue in $f(T)$ gravity
• Localization of abelian gauge fields with Stueckelberg-like geometrical coupling on $f(T,B)$-thick brane
• Bridging Dimensions: General Embedding Algorithm and Field-Theory Reconstruction in 5D Braneworld Models
• Geometrically contracted structure in teleparallel $f(T)$ gravity
• Differential configurational entropy for multi-field of the ${\varphi }^6$ theory
• Thick brane models in generalized mimetic gravity
• On the uplift of 4D wormholes in Braneworld models and their 5D structure