Casimir effect in an axially symmetric spacetime with unparticles

Abstract We investigate the Casimir effect of the massless scalar field in a cavity formed by ideal parallel plates in the spacetime generated by a rotating axially symmetric distribution of vector or scalar (tensor) unparticles, around which the plates orbit. The presence of the unparticles is inco...

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Main Authors: V. B. Bezerra, C. R. Muniz, H. S. Vieira
Format: Article
Language:English
Published: SpringerOpen 2019-10-01
Series:European Physical Journal C: Particles and Fields
Online Access:http://link.springer.com/article/10.1140/epjc/s10052-019-7391-2
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author V. B. Bezerra
C. R. Muniz
H. S. Vieira
author_facet V. B. Bezerra
C. R. Muniz
H. S. Vieira
author_sort V. B. Bezerra
collection DOAJ
description Abstract We investigate the Casimir effect of the massless scalar field in a cavity formed by ideal parallel plates in the spacetime generated by a rotating axially symmetric distribution of vector or scalar (tensor) unparticles, around which the plates orbit. The presence of the unparticles is incorporated to the background by means of a correction to the Kerr solution of the Einstein equations, in which the characteristic length and the scale dimension associated to the unparticle theory are taken into account. We show that the Casimir energy density depends also on these parameters. The analysis of the “ungravity” limit for the Casimir energy density, in which the characteristic length is very large in comparison to the horizon radius, is made, too. At zero temperature, we show that such a limit implies the instability of the system, since the Casimir energy density becomes an imaginary quantity. The general result is compared to the current terrestrial experiments of the Casimir effect. Thermal corrections also are investigated and the ungravity limit again examined, with the aforementioned instability disappearing at high temperatures.
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spelling doaj.art-9e7f5eb852b041189ec811d9c705e1a22022-12-21T19:35:23ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522019-10-0179101710.1140/epjc/s10052-019-7391-2Casimir effect in an axially symmetric spacetime with unparticlesV. B. Bezerra0C. R. Muniz1H. S. Vieira2Departamento de Física, CCEN, Universidade Federal da ParaíbaGrupo de Física Teórica (GFT), Universidade Estadual do Ceará, Faculdade de Educação, Ciências e Letras de IguatuInstituto de Física de São Carlos, Universidade de São PauloAbstract We investigate the Casimir effect of the massless scalar field in a cavity formed by ideal parallel plates in the spacetime generated by a rotating axially symmetric distribution of vector or scalar (tensor) unparticles, around which the plates orbit. The presence of the unparticles is incorporated to the background by means of a correction to the Kerr solution of the Einstein equations, in which the characteristic length and the scale dimension associated to the unparticle theory are taken into account. We show that the Casimir energy density depends also on these parameters. The analysis of the “ungravity” limit for the Casimir energy density, in which the characteristic length is very large in comparison to the horizon radius, is made, too. At zero temperature, we show that such a limit implies the instability of the system, since the Casimir energy density becomes an imaginary quantity. The general result is compared to the current terrestrial experiments of the Casimir effect. Thermal corrections also are investigated and the ungravity limit again examined, with the aforementioned instability disappearing at high temperatures.http://link.springer.com/article/10.1140/epjc/s10052-019-7391-2
spellingShingle V. B. Bezerra
C. R. Muniz
H. S. Vieira
Casimir effect in an axially symmetric spacetime with unparticles
European Physical Journal C: Particles and Fields
title Casimir effect in an axially symmetric spacetime with unparticles
title_full Casimir effect in an axially symmetric spacetime with unparticles
title_fullStr Casimir effect in an axially symmetric spacetime with unparticles
title_full_unstemmed Casimir effect in an axially symmetric spacetime with unparticles
title_short Casimir effect in an axially symmetric spacetime with unparticles
title_sort casimir effect in an axially symmetric spacetime with unparticles
url http://link.springer.com/article/10.1140/epjc/s10052-019-7391-2
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AT hsvieira casimireffectinanaxiallysymmetricspacetimewithunparticles