https://doi.org/10.1140/epjc/s10052-015-3597-0
Regular Article - Theoretical Physics
The structure of f(R)-brane model
1
Institute of Theoretical Physics, Lanzhou University, Lanzhou, 730000, People’s Republic of China
2
IFAE, Universitat Autònoma de Barcelona, Bellaterra, 08193, 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:
13
May
2015
Accepted:
1
August
2015
Published online:
12
August
2015
Recently, a family of interesting analytical brane solutions were found in f(R) gravity with 
in Bazeia et al. (Phys Lett B 729:127 2014). In these solutions, the inner brane structure can be turned on by tuning the value of the parameter 
. In this paper, we investigate how the parameter affects the localization and the quasilocalization of the tensorial gravitons around these solutions. It is found that, in a range of , despite the brane having an inner structure, there is no graviton resonance. However, in some other regions of the parameter space, although the brane has no internal structure, the effective potential for the graviton Kaluza–Klein (KK) modes has a singular structure, and there exist a series of graviton resonant modes. The contribution of the massive graviton KK modes to Newton’s law of gravity is discussed briefly.
© The Author(s), 2015
