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Casimir effect due to a slowly rotating source in the weak-field approximation

V. B. Bezerra

H. F. Mota

C. R. Muniz

  • Departamento de Física, Universidade Federal da Paraíba, 58.059-970, Caixa Postal 5.008, João Pessoa, Paraíba, Brazil

  • Departamento de Física, Universidade Federal da Paraíba, 58.059-970, Caixa Postal 5.009, João Pessoa, Paraíba, Brazil

  • Grupo de Física Teórica(GFT), Universidade Estadual do Ceará, UECE-FECLI Iguatu, Ceará, Brazil

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Phys. Rev. D 89, 044015 – Published 13 February, 2014

DOI: https://doi.org/10.1103/PhysRevD.89.044015

Abstract

We calculate the renormalized vacuum energy density for a massless scalar field confined between two nearby parallel plates formed by ideal uncharged conductors, placed very close to the surface of a rotating spherical gravitational source with mass M, radius R and angular momentum J, at the equatorial region. We consider that the source rotates slowly and that the gravitational field is weak. Corrections to the Casimir energy density induced by the gravitational field generated by this source are calculated up to M/R2 order. The results obtained show us that there is an important modification in the Casimir energy only in this order of approximation, which depends on the surface gravity as well as on the rotation of the source. Thermal corrections to the Casimir energy found are also calculated in all these orders.

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Phys. Rev. D 89, 044015– Published 13 February, 2014
  • Received 6 December 2013

© 2014 American Physical Society

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