Casimir Effect in $E^3$ closed spaces
General Relativity and Quantum Cosmology
2009-11-11 v4 Astrophysics
High Energy Physics - Theory
Abstract
As it is well known the topology of space is not totally determined by Einstein's equations. It is considered a massless scalar quantum field in a static Euclidean space of dimension 3. The expectation value for the energy density in all compact orientable Euclidean 3-spaces are obtained in this work as a finite summation of Epstein type zeta functions. The Casimir energy density for these particular manifolds is independent of the type of coupling with curvature. A numerical plot of the result inside each Dirichlet region is obtained.
Cite
@article{arxiv.gr-qc/0605112,
title = {Casimir Effect in $E^3$ closed spaces},
author = {Mariana P. Lima and Daniel Muller},
journal= {arXiv preprint arXiv:gr-qc/0605112},
year = {2009}
}
Comments
Version accepted for publication. The most general coupling with curvature is chosen