https://doi.org/10.1140/epjc/s10052-018-5527-4
Regular Article - Theoretical Physics
Thick branes with inner structure in mimetic gravity
1
Institute of Theoretical Physics, Lanzhou University, Lanzhou, 730000, People’s Republic of China
2
Research Center of Gravitation, Lanzhou University, Lanzhou, 730000, People’s Republic of China
3
School of Science, Xi’an Jiaotong University, Xi’an, 710049, People’s Republic of China
* e-mail: liuyx@lzu.edu.cn
Received:
5
December
2017
Accepted:
4
January
2018
Published online:
19
January
2018
In this paper, thick branes generated by mimetic scalar field are investigated. Three typical thick brane models are constructed and the linear tensor and scalar perturbations are analyzed. These branes have different inner structures, some of which are absent in general relativity. For each brane model, the solution is stable under both tensor and scalar perturbations. The tensor zero modes are localized on the branes, while the scalar perturbations do not propagate and they are not localized on the brane. As the branes split into multi sub-branes for specific parameters, the potentials of the tensor perturbations also split into multi-wells, and this may lead to new phenomenon in the resonance of the tensor perturbation and the localization of matter fields.
© The Author(s), 2018