5+1)-dimensional analytical braneworld models: Intersecting thick brane

Autor(es)

Gauy, Henrique Matheus ^[1] ; Bernardini, Alex E. ^[1]

Afiliação do(s) autor(es)

^[1] Univ Fed Sao Carlos, Dept Fis, BR-13565905 Sao Carlos, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: PHYSICAL REVIEW A; v. 105, n. 2 JAN 25 2022.
• Citações Web of Science: 0

Resumo

Two codimensional thick braneworlds are investigated in quite general terms for two intersecting scalar fields generating the extra dimension defect. In general, when one considers two codimensional thick braneworlds, the warp factor is constructed as a stringlike defect. Considering a twofold warp factor constructed from two intersecting warp factors, an alternative bulk configuration is examined. With the brane localization thus driven by two crossing scalar fields, the possible solvable models obtained from such a two codimensional setup are systematically discussed. The obtained solutions are classified as five different models organized into two subsets, for which some of their physical properties are evaluated. For models I and II, in the first subset, Einstein equation solutions are rigidly defined, up to some arbitrary constant. For models III, IV, and V, in the second subset, an additional degree of freedom not constrained by Einstein equations is admitted. The solutions are all obtained from a departure statement of assuming a conformally flat metric for the internal space, which is concomitant to the proper choice of coordinates. Eventual singularities in the curvature are identified, however, without affecting the physical appeal of the solutions described in terms of the stress energy tensor patterns, which are shown to be free of singularities for model IV, besides admitting straightforward reductions to (4 + 1) dimensions. In particular, from the framework of models III and IV, one is able to achieve braneworld solutions over two different geometries of S-2 which, as demonstrated, can be reduced to trivial and nontrivial extensions of the wellknown (4 + 1)-dimensional braneworlds. Therefore, our (5 + 1)-dimensional results point to a consistent and expanded generalization of a (4 + 1)-dimensional braneworld which naturally admits the possibility of an enlarged and maybe more accurate phenomenology. (AU)

• Processo FAPESP: 18/03960-9 - Estruturas fundamentais da Mecânica Quântica no espaço de fases -- Não-classicalidade e correspondência clássico-quântica em sistemas quânticos ordinários e sistemas tipo-Dirac
• Beneficiário: Alex Eduardo de Bernardini
• Modalidade de apoio: Auxílio à Pesquisa - Regular