Geometrical deformation of brane matter field within f(R, Q, P) gravity
Abstract In the context of braneworld scenarios, the real scalar field plays a crucial role by providing thickness for brane. In this work, we investigate a codimension-one thick brane within the framework of f(R, Q, P) gravity, where R represents the curvature scalar, while $$Q=R_{\mu \nu }R^{\mu \...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2024-12-01
|
| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-024-13684-8 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832571376450404352 |
|---|---|
| author | Fernando M. Belchior Roberto V. Maluf Albert Yu. Petrov Paulo J. Porfírio |
| author_facet | Fernando M. Belchior Roberto V. Maluf Albert Yu. Petrov Paulo J. Porfírio |
| author_sort | Fernando M. Belchior |
| collection | DOAJ |
| description | Abstract In the context of braneworld scenarios, the real scalar field plays a crucial role by providing thickness for brane. In this work, we investigate a codimension-one thick brane within the framework of f(R, Q, P) gravity, where R represents the curvature scalar, while $$Q=R_{\mu \nu }R^{\mu \nu }$$ Q = R μ ν R μ ν and $$P=R_{\mu \nu \alpha \beta }R^{\mu \nu \alpha \beta }$$ P = R μ ν α β R μ ν α β are quadratic geometric invariants. Our interest is to investigate the influence of these invariants on the scalar field solution and the energy density of the brane. Furthermore, we analyze the localization of spin 1/2 fermions and the gravitino by employing a Yukawa-like coupling with the scalar field background. Such a coupling is able to produce a normalizable zero-mode for both fields. |
| format | Article |
| id | doaj-art-6349205a161e43bab56eb57a85fa3849 |
| institution | Kabale University |
| issn | 1434-6052 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj-art-6349205a161e43bab56eb57a85fa38492025-02-02T12:39:22ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522024-12-01841211510.1140/epjc/s10052-024-13684-8Geometrical deformation of brane matter field within f(R, Q, P) gravityFernando M. Belchior0Roberto V. Maluf1Albert Yu. Petrov2Paulo J. Porfírio3Departamento de Física, Universidade Federal do CearáDepartamento de Física, Universidade Federal do CearáDepartamento de Física, Universidade Federal da ParaíbaDepartamento de Física, Universidade Federal da ParaíbaAbstract In the context of braneworld scenarios, the real scalar field plays a crucial role by providing thickness for brane. In this work, we investigate a codimension-one thick brane within the framework of f(R, Q, P) gravity, where R represents the curvature scalar, while $$Q=R_{\mu \nu }R^{\mu \nu }$$ Q = R μ ν R μ ν and $$P=R_{\mu \nu \alpha \beta }R^{\mu \nu \alpha \beta }$$ P = R μ ν α β R μ ν α β are quadratic geometric invariants. Our interest is to investigate the influence of these invariants on the scalar field solution and the energy density of the brane. Furthermore, we analyze the localization of spin 1/2 fermions and the gravitino by employing a Yukawa-like coupling with the scalar field background. Such a coupling is able to produce a normalizable zero-mode for both fields.https://doi.org/10.1140/epjc/s10052-024-13684-8 |
| spellingShingle | Fernando M. Belchior Roberto V. Maluf Albert Yu. Petrov Paulo J. Porfírio Geometrical deformation of brane matter field within f(R, Q, P) gravity European Physical Journal C: Particles and Fields |
| title | Geometrical deformation of brane matter field within f(R, Q, P) gravity |
| title_full | Geometrical deformation of brane matter field within f(R, Q, P) gravity |
| title_fullStr | Geometrical deformation of brane matter field within f(R, Q, P) gravity |
| title_full_unstemmed | Geometrical deformation of brane matter field within f(R, Q, P) gravity |
| title_short | Geometrical deformation of brane matter field within f(R, Q, P) gravity |
| title_sort | geometrical deformation of brane matter field within f r q p gravity |
| url | https://doi.org/10.1140/epjc/s10052-024-13684-8 |
| work_keys_str_mv | AT fernandombelchior geometricaldeformationofbranematterfieldwithinfrqpgravity AT robertovmaluf geometricaldeformationofbranematterfieldwithinfrqpgravity AT albertyupetrov geometricaldeformationofbranematterfieldwithinfrqpgravity AT paulojporfirio geometricaldeformationofbranematterfieldwithinfrqpgravity |