标题： 度规的量子涨落对膜宇宙的影响 显示英文标题

标题： Effects of quantum fluctuations of the metric on a braneworld

摘要： 采用量子涨落度规的期望值是线性的前提，即$\langle g^{\mu\nu}\rangle=\alpha g^{\mu\nu}$，我们分析了由与物质场耦合的爱因斯坦-希尔伯特作用量引起的修改引力理论。 这种方法产生了用于研究膜世界结构的$f(R,T)$引力。 在这种情况下，考虑到一个厚膜，研究了度规涨落对膜动力学的影响。 因此，展示了度规涨落如何影响真空态。 这种影响对于修改膜能量和物质场的渐近轮廓具有重要意义。 在注意到这些修改后，我们分析了物质场中最可能和稳定的结构。 通过考虑微分构型熵的理论测度来进行此分析。 显示英文摘要

摘要： Adopting the premise that the expected value of the quantum fluctuating metric is linear, i.e., $\langle g^{\mu\nu}\rangle=\alpha g^{\mu\nu}$, we analyze the modified gravity theory induced by the Einstein-Hilbert action coupled to a matter field. This approach engenders the $f(R,T)$ gravity used to investigate the braneworld. In this scenario, considering a thick brane, the influence of metric fluctuations on brane dynamics is investigated. Consequently, one shows how the metric fluctuations influence the vacuum states. This influence has repercussions for modifying the brane energy and the asymptotic profile of the matter field. After noticing these modifications, we analyzed the most likely and stable structures from the matter field. One performs this analysis considering the theoretical measure of differential configurational entropy.