Buoninfante Luca, Lambiase Gaetano, Petruzziello Luciano, Stabile Antonio
1Dipartimento di Fisica "E.R. Caianiello", Università di Salerno, 84084 Fisciano, SA Italy.
INFN-Gruppo Collegato di Salerno, Fisciano, Italy.
Eur Phys J C Part Fields. 2019;79(1):41. doi: 10.1140/epjc/s10052-019-6574-1. Epub 2019 Jan 18.
In this paper, we study the Casimir effect in a curved spacetime described by gravitational actions quadratic in the curvature. In particular, we consider the dynamics of a massless scalar field confined between two nearby plates and compute the corresponding mean vacuum energy density and pressure in the framework of quadratic theories of gravity. Since we are interested in the weak-field limit, as far as the gravitational sector is concerned we work in the linear regime. Remarkably, corrections to the flat spacetime result due to extended models of gravity (although very small) may appear at the first-order of our perturbative analysis, whereas general relativity contributions start appearing at the second order. Future experiments on the Casimir effect might represent a useful tool to test and constrain extended theories of gravity.
在本文中，我们研究了由曲率二次引力作用所描述的弯曲时空中的卡西米尔效应。具体而言，我们考虑了限制在两个相邻平板之间的无质量标量场的动力学，并在二次引力理论框架下计算了相应的平均真空能量密度和压强。由于我们关注弱场极限，就引力部分而言，我们在线性区域进行研究。值得注意的是，在我们的微扰分析一阶时，由于扩展引力模型（尽管非常小）对平直时空结果的修正可能会出现，而广义相对论的贡献在二阶时才开始出现。未来关于卡西米尔效应的实验可能是检验和约束扩展引力理论的有用工具。
