Thermal Casimir effect in Kerr space–time

We investigate the thermal Casimir effect of a massless scalar field for two parallel plates moving in the equatorial orbit in Kerr space–time. Under the assumption that the typical cavity size is much smaller than the orbital radius, proposed by Sorge, we deduce the analytical expression of the ren...

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Main Author: Anwei Zhang
Format: Article
Language:English
Published: Elsevier 2015-09-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321315002424
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author Anwei Zhang
author_facet Anwei Zhang
author_sort Anwei Zhang
collection DOAJ
description We investigate the thermal Casimir effect of a massless scalar field for two parallel plates moving in the equatorial orbit in Kerr space–time. Under the assumption that the typical cavity size is much smaller than the orbital radius, proposed by Sorge, we deduce the analytical expression of the renormalized free energy in this curved space–time. We also get the analytical representation for the renormalized internal energy, and find that there is a thermal correction to the Casimir energy, which depends on the proper temperature and the proper geometrical parameters of the plates. The asymptotic behavior of the Casimir free energy, entropy and internal energy at low temperature is also investigated.
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spelling doaj.art-d21661d9253144b99112b44bc83abfe62022-12-21T20:02:18ZengElsevierNuclear Physics B0550-32131873-15622015-09-01898C22022810.1016/j.nuclphysb.2015.07.002Thermal Casimir effect in Kerr space–timeAnwei ZhangWe investigate the thermal Casimir effect of a massless scalar field for two parallel plates moving in the equatorial orbit in Kerr space–time. Under the assumption that the typical cavity size is much smaller than the orbital radius, proposed by Sorge, we deduce the analytical expression of the renormalized free energy in this curved space–time. We also get the analytical representation for the renormalized internal energy, and find that there is a thermal correction to the Casimir energy, which depends on the proper temperature and the proper geometrical parameters of the plates. The asymptotic behavior of the Casimir free energy, entropy and internal energy at low temperature is also investigated.http://www.sciencedirect.com/science/article/pii/S0550321315002424
spellingShingle Anwei Zhang
Thermal Casimir effect in Kerr space–time
Nuclear Physics B
title Thermal Casimir effect in Kerr space–time
title_full Thermal Casimir effect in Kerr space–time
title_fullStr Thermal Casimir effect in Kerr space–time
title_full_unstemmed Thermal Casimir effect in Kerr space–time
title_short Thermal Casimir effect in Kerr space–time
title_sort thermal casimir effect in kerr space time
url http://www.sciencedirect.com/science/article/pii/S0550321315002424
work_keys_str_mv AT anweizhang thermalcasimireffectinkerrspacetime