Gravitational resonances on $f(T)$-branes

TL;DR

This paper studies gravitational resonances in $f(T)$-brane models with specific warp factors, analyzing how parameters influence resonance properties and their potential role as dark matter candidates.

Contribution

It provides new solutions for $f(T)$-brane models, analyzes the conditions for gravitational resonances, and explores their implications as dark matter within these models.

Findings

Resonance lifetimes can match the universe's age.

Certain parameters produce long-lived gravitational resonances.

Constraints on model parameters from experimental data.

Abstract

In this work, we investigate the gravitational resonances in various $f(T)$-brane models with the warp factor $\text{e}^{A(y)}=\tanh\big(k(y+b)\big)-\tanh\big(k(y-b)\big)$. For three kinds of $f(T)$, we give the solutions to the system. Besides, we consider the tensor perturbation of 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. Effects of different parameters on the gravitational resonances are analysed. The lifetimes of the resonances could be long enough as 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 of dark matter. Combining the current experimental observations, we constrain the parameters for these brane models.