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arXiv · 2006.00669

Evaluation of vacuum energy density around geometrical defects by the WKB method

Kiyoshi Shiraishi
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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.

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Kiyoshi Shiraishi. 2020-06-01. Evaluation of vacuum energy density around geometrical defects by the WKB method. https://doi.org/10.24532/soken.90.4_95

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