English

Casimir effect in conformally flat spacetimes

Quantum Physics 2020-12-02 v1 General Relativity and Quantum Cosmology

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)(k=0) models.

Keywords

Cite

@article{arxiv.2006.06884,
  title  = {Casimir effect in conformally flat spacetimes},
  author = {Bartosz Markowicz and Kacper Dębski and Maciej Kolanowski and Wojciech Kamiński and Andrzej Dragan},
  journal= {arXiv preprint arXiv:2006.06884},
  year   = {2020}
}

Comments

(21 pages, 1 figure)

R2 v1 2026-06-23T16:15:37.546Z