The vacuum energy density for spherical and cylindrical universes.
Abstract
The vacuum energy density (Casimir energy) corresponding to a massless scalar quantum field living in different universes (mainly noboundary ones), in several dimensions, is calculated. Hawking's zeta function regularization procedure supplemented with binomial expansion is shown to be a rigorous and well suited method for performing the analysis. It is compared with other more involved techniques. The principalpart prescription is used to deal with the poles that eventually appear. Results of the analysis are the absence of poles at four dimensions (4D), the total coincidence of the results corresponding to a 3D and a 4D cylinder, and the fact that the vacuum energy density for cylinders is over an order of magnitude smaller than for spheres of the same dimension.
 Publication:

Journal of Mathematical Physics
 Pub Date:
 July 1994
 DOI:
 10.1063/1.530469
 arXiv:
 arXiv:hepth/9308048
 Bibcode:
 1994JMP....35.3308E
 Keywords:

 Universe: Energies;
 High Energy Physics  Theory
 EPrint:
 18 pages, LaTeX, august 5