Related papers: Casimir effect in conformally flat spacetimes

Casimir effect in conformally flat spacetimes

URL: http://arxiv.org/abs/2006.06884v1
Date: Fri, 12 Jun 2020 00:08:49 GMT
Title: Casimir effect in conformally flat spacetimes
Authors: Bartosz Markowicz, Kacper D\k{e}bski, Maciej Kolanowski, Wojciech Kami\'nski and Andrzej Dragan
Abstract summary: We show that Casimir's and Lifschitz's methods are inequivalent and only latter can be generalized to other spacetime geometries. For conformally coupled fields we derive the Casimir force in conformally flat spacetimes utilizing an anomaly.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: We discuss several approaches to determine the Casimir force in inertial frames of reference in different dimensions. On an example of a simple model involving mirrors in Rindler spacetime we show that Casimir's and Lifschitz's methods are inequivalent and only latter can be generalized to other spacetime geometries. For conformally coupled fields we derive the Casimir force in conformally flat spacetimes utilizing an anomaly and provide explicit examples in the Friedmann-Lemaitre-Robertson-Walker $(k=0)$ models.

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