论文标题
张量扰动和较高的高尺寸高斯重力的浓密麸皮
Tensor Perturbations and Thick Branes in Higher Dimensional Gauss-Bonnet Gravity
论文作者
论文摘要
在同质各向异性$ d =（4+1+d）$时空中，具有高斯 - 骨网的厚Brane模型。通过选择混凝土度量ANSATZ，我们表明该时空在某些条件下对线性张量扰动是稳定的。还给出了重力零模式。此外，我们在六维时空中检查了一个特定的示例，并具有给定的扭曲因子。耦合背景标量场及其电势可以通过分析求解。此外，还讨论了重力的Kaluza-Klein模式的有效潜力。我们发现，有效电位在某些条件下可以具有奇异性，这与Graviton零模式的非差异性有关。
A thick brane model with Gauss-Bonnet action in a homogeneous anisotropic $D=(4+1+d)$ spacetime is studied. By choosing a concrete metric ansatz, we show that this spacetime is stable against linear tensor perturbations under certain conditions. The graviton zero modes are also given. Besides, we examine a particular example in six-dimensional spacetime with a given warp factor. The coupled background scalar field and its potential are solved analytically. Furthermore, the effective potential of the Kaluza-Klein modes of the graviton is also discussed. We found that the effective potential can have singularities under certain conditions, which are related to the non-differentiability of the graviton zero modes.
