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arXiv · 2302.06545

5D Elko spinor field non-minimally coupled to nonmetricity in $f(Q)$ gravity

F. M. Belchior·A. R. P. Moreira·R. V. Maluf·C. A. S. Almeida
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Abstract

This paper aims to investigate the localization of the five-dimensional spinor field known as Elko (dual-helicity eigenspinors of the charge conjugation operator) by employing a Yukawa-like geometrical coupling in which the Elko field is non-minimally coupled to nonmetricity scalar $Q$. We adopt the braneworld scenarios in which the first-order formalism with sine-Gordon and linear superpotentials is employed to obtain the warp factors. A linear function supports the zero-mode trapping within the geometric coupling, leading to the same effective potential as the scalar field. Moreover, an exotic term must be added to obtain real-valued massive modes. Such modes are investigated through the Schr\"{o}dinger-like approach.

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F. M. Belchior, A. R. P. Moreira, R. V. Maluf, C. A. S. Almeida. 2023-02-13. 5D Elko spinor field non-minimally coupled to nonmetricity in $f(Q)$ gravity. https://doi.org/10.1016/j.physletb.2023.138029

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