标题： 真空能在具有第五元素和大质量引力子的Kerr时空中的热卡西米尔效应 显示英文标题

标题： Thermal Casimir effect in Kerr spacetime with quintessence and massive gravitons

摘要： 从亥姆霍兹自由能的解析表达式出发，我们计算了在无质量标量场真空中的相邻理想平行板之间的卡西米尔能量密度和熵的热修正。我们的框架是在暗能量和大质量引力子存在下的克尔时空。特别分析了高温和低温区域，以区分主要贡献。例如，在高温区域，我们表明平板之间的力是排斥的，并且随着暗能量和大质量引力子的增加而增大。关于卡西米尔熵，我们的结果与能斯特热定理一致，因此确认了当前情景下的热力学第三定律。 显示英文摘要

摘要： Starting from an analytical expression for the Helmholtz free energy we calculate the thermal corrections to the Casimir energy-density and entropy within nearby ideal parallel plates in the vacuum of a massless scalar field. Our framework is the Kerr spacetime in the presence of quintessence and massive gravitons. The high and low temperature regimes are especially analysed in order to distinguish the main contributions. For instance, in the high temperature regime, we show that the force between the plates is repulsive and grows with both the quintessence and the massive gravitons. Regarding the Casimir entropy, our results are in agreement with the Nernst heat theorem and therefore confirm the third law of thermodynamics in the present scenario.