Casimir Effect in the Rainbow Einstein's Universe
General Relativity and Quantum Cosmology
2018-01-17 v2
Abstract
In the present paper we investigate the effects caused by the modification of the dispersion relation obtained by solving the Klein-Gordon equation in the closed Einstein's universe in the context of rainbow's gravity models. Thus, we analyse how the quantum vacuum fluctuations of the scalar field are modified when compared with the results obtained in the usual General Relativity scenario. The regularization, and consequently the renormalization, of the vacuum energy is performed adopting the Epstein-Hurwitz and Riemann's zeta functions.
Cite
@article{arxiv.1708.02627,
title = {Casimir Effect in the Rainbow Einstein's Universe},
author = {V. B. Bezerra and H. F. Mota and C. R. Muniz},
journal= {arXiv preprint arXiv:1708.02627},
year = {2018}
}
Comments
15 pages, 1 figure. To appear in Europhysics Letters