论文标题
张量扰动和高维$ f（r）$重力中的浓密麸皮
Tensor Perturbations and Thick Branes in Higher-dimensional $f(R)$ Gravity
论文作者
论文摘要
我们在$ f（r）$重力的背景下以各向异性的高维时空研究brane世界。首先，我们证明了具有混凝土度量ANSATZ的时空在某些条件下对线性张量扰动是稳定的。此外，分析了重力的Kaluza-klein模式。其次，我们研究了六个维度及其性质的厚熟溶液。我们进一步展示了两组厚麸皮的解决方案。最后，讨论了在较高维度上的两个已解决的$ F（R）$模型的重力的Kaluza-Klein模式的有效潜力。
We study brane worlds in an anisotropic higher-dimensional spacetime within the context of $f(R)$ gravity. Firstly, we demonstrate that this spacetime with a concrete metric ansatz is stable against linear tensor perturbations under certain conditions. Moreover, the Kaluza-Klein modes of the graviton are analyzed. Secondly, we investigate thick brane solutions in six dimensions and their properties. We further exhibit two sets of solutions for thick branes. At last, the effective potential of the Kaluza-Klein modes of the graviton is discussed for the two solved $f(R)$ models in higher dimensions.
