https://doi.org/10.1140/epjc/s10052-019-7391-2
Regular Article - Theoretical Physics
Casimir effect in an axially symmetric spacetime with unparticles
1
Departamento de Física, CCEN, Universidade Federal da Paraíba, Caixa Postal 5008, João Pessoa, PB, Brazil
2
Grupo de Física Teórica (GFT), Universidade Estadual do Ceará, Faculdade de Educação, Ciências e Letras de Iguatu, Av. Dário Rabelo, s/n, Iguatu, CE, CEP 63500-000, Brazil
3
Instituto de Física de São Carlos, Universidade de São Paulo, Caixa Postal 369, São Carlos, São Paulo, CEP 13560-970, Brazil
* e-mail: celio.muniz@uece.br
Received:
8
August
2019
Accepted:
9
October
2019
Published online:
26
October
2019
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.
© The Author(s), 2019