膜世界场景对张量扰动的鲁棒性
Robustness of braneworld scenarios against tensorial perturbations
摘要：
受晶体结构的有效几何特性的启发，我们从度量仿射的角度重新考虑厚膜的情况。我们表明，对于一个相当普遍的家庭的引力理论，其拉格朗日是一个任意函数的度量和Ricci张量，背景和标量场方程可以写在一阶形式，和张量扰动有一个非负定谱，这使得它们稳定的线性扰动下，无论形式的引力拉格朗日。我们发现，特别是，张量零模式是完全相同的爱因斯坦理论预测的标量场和引力拉格朗日。
英文摘要：
Inspired by the peculiarities of the effective geometry of crystalline structures, we reconsider thick brane scenarios from a metric-affine perspective. We show that for a rather general family of theories of gravity, whose Lagrangian is an arbitrary function of the metric and the Ricci tensor, the background and scalar field equations can be written in first-order form, and tensorial perturbations have a non negative definite spectrum, which makes them stable under linear perturbations regardless of the form of the gravity Lagrangian. We find, in particular, that the tensorial zero modes are exactly the same as predicted by Einstein's theory regardless of the scalar field and gravitational Lagrangians.
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