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

@article{Shiraishi2020EvaluationOV,
  title={Evaluation of vacuum energy density around geometrical defects by the WKB method},
  author={Kiyoshi Shiraishi},
  journal={arXiv: General Relativity and Quantum Cosmology},
  year={2020}
}
  • Kiyoshi Shiraishi
  • Published 1 June 2020
  • Physics
  • arXiv: General Relativity and Quantum Cosmology
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. 

Figures from this paper