论文标题
浓密的麸皮，内部结构模拟$ f（r）$重力
Thick branes with inner structure in mimetic $f(R)$ gravity
论文作者
论文摘要
在本文中，我们研究了由$ f（r）$重力中模拟标量场产生的厚麸皮的结构和重力共振。我们获得了$ f（r）= r+αr^2 $的几种典型厚的brane解决方案。为了研究它们的稳定性，我们分析了度量的张量扰动。结果表明，任何具有$ df/dr> 0 $的厚的brane模型都是稳定的，并且可以将重力零模式定位在每种溶液的brane上，这表明可以恢复四维的牛顿重力。研究了参数$α$对重力共振的影响。随着勃雷分裂为多子抗体，张量扰动的有效潜力将具有丰富的内部结构，并带有多孔，这将导致重力共振的新现象。
In this paper, we study the structure and gravitational resonances of thick branes generated by a mimetic scalar field in $f(R)$ gravity. We obtain several typical thick brane solutions for $f(R)=R+αR^2$. To study their stability, we analyze the tensor perturbation of the metric. It is shown that any thick brane model with $df/dR>0$ is stable and the graviton zero mode can be localized on the brane for each solution, which indicates that the four-dimensional Newtonian gravity can be restored. The effect of the parameter $α$ on the gravitational resonances is studied. As a brane splits into multi sub-branes, the effective potential of the tensor perturbation will have an abundant inner structure with multi-wells, and this will lead to new phenomena of the gravitational resonances.
