Evaluation of vacuum energy density around geometrical defects by the WKB method
General Relativity and Quantum Cosmology
2020-07-02 v1 Mathematical Physics
math.MP
Abstract
The energy density of a conformally invariant scalar field around a cosmic string is estimated by the WKB method. This approach reproduces the precise value obtained by the other authors using the exact mode-sum method or the method of mirror images. The approximation is also in good agreement with the exact result in the three-dimensional case. We also evaluate the energy density of a conformally invariant scalar field around a global monopole by the same way and find the known result again.
Keywords
Cite
@article{arxiv.2006.00669,
title = {Evaluation of vacuum energy density around geometrical defects by the WKB method},
author = {Kiyoshi Shiraishi},
journal= {arXiv preprint arXiv:2006.00669},
year = {2020}
}
Comments
11 pages, one figure