论文标题

$ f(t)$ - branes的引力共振

Gravitational resonances on $f(T)$-branes

论文作者

Tan, Qin, Guo, Wen-Di, Zhang, Yu-Peng, Liu, Yu-Xiao

论文摘要

在这项工作中,我们研究了具有经纱$ \ text {e}^{a(y)} = \ tanh \ big(k(y+b)\ big) - \ tanh \ big(k(y-b)\ big)$的各种$ f(t)$ - brane模型中的引力共振。对于三种$ f(t)$,我们为系统提供解决方案。此外,我们考虑了Vielbein的张量扰动,并获得了Kaluza-Klein(KK)分解的有效潜力。然后,我们分析什么样的有效潜力可以产生引力共振。分析了不同参数对重力共振的影响。作为参数的某些范围,作为我们宇宙的年龄,共振的寿命可能足够长。这表明引力共振可能被认为是暗物质的候选者之一。结合了当前的实验观测,我们限制了这些Brane模型的参数。

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.

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