Eur. Phys. J. C (2016) 76: 195
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

Abstract

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.