Open AccessLocalization of scalar field on f(R, T) thick Robertson-Walker brane
Author(s) -
Muhammad Taufiqur Rohman,
Triyanta
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1816/1/012058
Subject(s) - brane , physics , scalar field , mathematical physics , scalar (mathematics) , field (mathematics) , geometry , pure mathematics , mathematics
The braneworld model provides a solution to the hierarchy problem in cosmology. Based on its thickness, braneworld models are classified into a thin brane model (RandallSundrum (RS) and the RS-like models) and a thick brane model. The thin brane model has a problem according to the zero-width brane and some fields localization. Meanwhile, thick brane is quite good in explaining fields localization and there is no problem related to brane thickness. In this article, we re-examine the thick brane in a modified gravity, that is f ( R,T ) gravity. The equation of motion for the y -dependence scalar field and the f ( R,T ) field equation for a conformally flat brane and Robertson-Walker brane are derived. We also investigate the localization of scalar field on the f ( R,T ) thick brane, for a specific f ( R,T ) form. As the results, the formulation of Robertson-Walker thick brane is obtained. It can be reduced and has similarities to the previous f ( R,T ) brane consideration. It has a possibility to trap the field ϕ ( y ) in a thick brane with specific conditions of brane’s scale factor. It was shown that the expanding or contracting universe affects the localization conditions of the scalar fields.