https://doi.org/10.1140/epjc/s10052-016-4039-3
Regular Article - Theoretical Physics
Gravitational resonances on f(R)-brane
1
Institute of Theoretical Physics, Lanzhou University, Lanzhou, 730000, People’s Republic of China
2
IFAE, Universitat Autònoma de Barcelona, 08193, Bellaterra, Barcelona, Spain
3
Key Laboratory for Magnetism and Magnetic Materials of the MoE, Lanzhou University, Lanzhou, 730000, China
* e-mail: liuyx@lzu.edu.cn
Received:
23
December
2015
Accepted:
28
March
2016
Published online:
9
April
2016
In this paper, we investigate various f(R)-brane models and compare their gravitational resonance structures with the corresponding general relativity (GR)-branes. Starting from some known GR-brane solutions, we derive thick f(R)-brane solutions such that the metric, scalar field, and scalar potential coincide with those of the corresponding GR-branes.We find that for the branes generated by a single or several canonical scalar fields, there is no obvious distinction between the GR-branes and the corresponding f(R)-branes in terms of gravitational resonance structure. Then we discuss the branes generated by a K-field. In this case, there could exist huge differences between GR-branes and f(R)-branes.
© The Author(s), 2016
