Refinements of the Weyl Pure Geometrical Thick Branes From Information‐Entropic Measure

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) that 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 to the field settings.

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“…As defined in Eq. ( 13), the energy density is ρ(y) = −e 2A L m [66,67], so Eq. ( 24) takes the form…”

Section: Configurational Entropy In Brane Modelsmentioning

confidence: 99%

Thick brane in f(T,B) gravity

et al. 2021

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“…The CE bounds the stability of various self-gravitating astrophysical objects [37] and states in Lorentz Violating (LV) scenarios [38] and also provides information about the stability of the glueball states in a dynamical holographic AdS/QCD model [39]. In the topic of braneworlds, the CE was heretofore applied to sine-Gordon models [40], to models with f (R) [41], to f (R, T ) [42] theories of gravity, and to the Weyl brane [43], as well as to the topological abelian string-vortex in six dimensions…”

mentioning

confidence: 99%

Phase transitions in thick branes endorsed by entropic information

Cruz¹,

Dantas²,

Correa³

et al. 2017

Physics Letters B

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The so-called configurational entropy (CE) framework has proved to be an efficient instrument to study nonlinear scalar field models featuring solutions with spatially-localized energy, since its proposal by Gleiser and Stamapoulos. Therefore, in this work, we apply this new physical quantity in order to investigate the properties of degenerate Bloch branes. We show that it is possible to construct a configurational entropy measure in functional space from the field configurations, where a complete set of exact solutions for the model studied displays both double and single-kink configurations. Our study shows a rich internal structure of the configurations, where we observe that the field configurations undergo a quick phase transition, which is endorsed by information entropy. Furthermore, the Bloch configurational entropy is employed to demonstrate a high organisational degree in the structure of the configurations of the system, stating that there is a best ordering for the solutions.Comment: 14 pages, 8 figures, published in PL

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“…It is easy to show that the zero mode of the graviton can be localized on the brane for the above mentioned solutions. Furthermore, there were some related work in other gravity theories, such as Weyl (pure geometrical) gravity [134][135][136][137][138][139] and critical gravity [140,141].…”

Section: )mentioning

confidence: 99%

Introduction to Extra Dimensions and Thick Braneworlds

Liu¹

2018

Memorial Volume for Yi-Shi Duan

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In this review, we give a brief introduction on the aspects of some extra dimension models and the five-dimensional thick brane models in extended theories of gravity. First, we briefly introduce the Kaluza-Klein theory, the domain wall model, the large extra dimension model, and the warped extra dimension models. Then some thick brane solutions in extended theories of gravity are reviewed. Finally, localization of bulk matter fields on thick branes is discussed.

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Refinements of the Weyl Pure Geometrical Thick Branes From Information‐Entropic Measure

Cited by 7 publications

References 56 publications

Thick brane in f(T,B) gravity

Thick brane in f(T,B) gravity

Phase transitions in thick branes endorsed by entropic information

Introduction to Extra Dimensions and Thick Braneworlds

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