Regular Article - Theoretical Physics
Gravitational resonances on f(T)-branes
Institute of Theoretical Physics and Research Center of Gravitation, Lanzhou University, 730000, Lanzhou, China
2 Key Laboratory for Magnetism and Magnetic of the Ministry of Education, Lanzhou University, 730000, Lanzhou, China
3 Joint Research Center for Physics, Lanzhou University and Qinghai Normal University, 730000, Lanzhou, China
4 CENTRA, Departamento de Física, Instituto Superior Técnico–IST, Universidade de Lisboa–UL, Avenida Rovisco Pais 1, 1049, Lisbon, Portugal
Accepted: 18 April 2021
Published online: 29 April 2021
In this work, we investigate the gravitational resonances in various f(T)-brane models with the warp factor , where f(T) is an arbitrary function of the torsion scalar T. For three kinds of f(T), we give the solutions to the system. Besides, we consider the tensor perturbation of the vielbein and obtain the effective potentials by the Kaluza–Klein (KK) decomposition. Then we analyze what kind of effective potential can produce the gravitational resonances. The effects of different parameters on the gravitational resonances are analyzed. The lifetimes of the resonances could be long enough as regards the age of our universe in some ranges of the parameters. This indicates that the gravitational resonances might be considered as one of the candidates for dark matter. Combining the current experimental observations, we constrain the parameters for these brane models.
© The Author(s) 2021
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