Thick brane 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) 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.

Thick braneworld model in nonmetricity formulation of general relativity and its stability

“…However, because of the vanishing thickness of the brane, the thin braneworld models only can be treated as an effective theory of a more fundamental theory, where any objects would have a minimal length scale. Thus, it is more realistic to investigate the thick braneworld models, where the brane is generated by one or more background scalar fields and the energy density of the brane is a smooth function of the extra dimension [23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40] instead of a Dirac delta function in the thin braneworld models. In the thick braneworld models, although the size of the extra dimension is infinity, the matter fields corresponding to the standard model are confined on the brane [41][42][43][44][45][46][47] and the localized graviton zero mode produces the four-dimensional Newtonian potential [48][49][50][51][52][53][54], which are two key points reconstructing our effective fourdimensional world.…”

First-order formalism for thick branes in $$f(T,{\mathscr {T}})$$ gravity

“…In fact, the gravitational field equations do not involve any additional constraints on the function f (T, T ) or the scalar T and the trace of the energy-momentum T . For a braneworld scenario, the diagonal tetrad (14) turned out to be a good tetrad for both a f (T ) gravity [41][42][43][44][45][46][47], and a f (T, B) gravity [64,65]. Thus, the choice in Eq.…”

“…We follow closely the analysis performed in Ref. [64]. For this, we choose the fünfbein perturbation [44][45][46][47]64]…”

“…This choice of vielbein perturbation ( 62) is well analyzed in Refs. [44][45][46][47]64], proving to be a good choice. Using Eq.…”

Minisuperspace Quantization of f(T, B) Cosmology

“…However, while f (T)-theory is a second-order as General Relativity there are various differences. However, the Ricciscalar and the Torsion scalar are not the only invariants which have been proposed in the literature, we refer the reader to [15][16][17][18][19][20][21][22][23][24][25][26][27][28][29] and references therein.…”