English

Casimir Effect in the Horava-Lifshitz Gravity with a Cosmological Constant

High Energy Physics - Theory 2015-05-06 v2

Abstract

We calculate the Casimir energy of a massless scalar field confined between two nearby parallel plates formed by ideal uncharged conductors, placed tangentially to the surface of a sphere with mass M and radius R. To this end, we take into account a static and spherically symmetric solution of Ho\v{r}ava-Lifshitz (HL) gravity, with a cosmological constant term, in lower orders of approximation, considering both weak-field and infrared limits. We show that the Casimir energy, just in the second order weak-field approximation, is modified due to the parameter of the HL gravity as well as to the cosmological constant.

Keywords

Cite

@article{arxiv.1405.5424,
  title  = {Casimir Effect in the Horava-Lifshitz Gravity with a Cosmological Constant},
  author = {C. R. Muniz and V. B. Bezerra and M. S. Cunha},
  journal= {arXiv preprint arXiv:1405.5424},
  year   = {2015}
}

Comments

18 pages. Improved conclusions. One figure and several references added. To appear in Annals of Physics