Geometrical deformation of brane matter field within $f(R,Q,P)$ gravity
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913622384443392 |
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| author | Belchior, Fernando M. Maluf, Roberto V. Petrov, Albert Yu. Porfírio, Paulo J. |
| author_facet | Belchior, Fernando M. Maluf, Roberto V. Petrov, Albert Yu. Porfírio, Paulo J. |
| contents | 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 $Q=R_{μν}R^{μν}$ and $P=R_{μναβ}R^{μναβ}$ 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 | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_00743 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Geometrical deformation of brane matter field within $f(R,Q,P)$ gravity Belchior, Fernando M. Maluf, Roberto V. Petrov, Albert Yu. Porfírio, Paulo J. General Relativity and Quantum Cosmology High Energy Physics - Theory 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 $Q=R_{μν}R^{μν}$ and $P=R_{μναβ}R^{μναβ}$ 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. |
| title | Geometrical deformation of brane matter field within $f(R,Q,P)$ gravity |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2410.00743 |