论文标题

Gödel型宇宙中的热casimir效应

Thermal Casimir effect in Gödel-type universes

论文作者

Santos, A. F., Khanna, Faqir C.

论文摘要

在本文中,考虑了与重力结合的无质量标量场。然后计算有限温度下的casimir效应。这种发展是在热场动态形式主义中进行的。这种方法提出了一种拓扑结构,可以以类似的方式研究温度和尺寸效应的影响。这些效果是根据Gödel-type溶液作为引力背景而计算的。分析了斯特凡·博尔茨曼法律及其一致性,分析了因果关系和非毒害戈德尔型区域。在这个时空和任何区域中,零温度下的CASIMIR效应始终很有吸引力。但是,在有限温度下,可以从临界温度出现排斥的Casimir效应。

In this paper, a massless scalar field coupled to gravity is considered. Then the Casimir effect at finite temperature is calculated. Such development is carried out in the Thermo Field Dynamics formalism. This approach presents a topological structure that allows for investigating the effects of temperature and the size effect in a similar way. These effects are calculated considering Gödel-type solutions as a gravitational background. The Stefan-Boltzmann law and its consistency are analyzed for both causal and non-causal Gödel-type regions. In this space-time and for any region, the Casimir effect at zero temperature is always attractive. However, at finite temperature, a repulsive Casimir effect can emerge from a critical temperature.

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