On stable compactification with Casimir-like potential
广义相对论与量子宇宙学
2007-05-23 v3 天体物理学
高能物理 - 理论
摘要
Multidimensional cosmological models with a higher dimensional space-time manifold are investigated under dimensional reduction. In the Einstein conformal frame, the effective potential for the internal scale factors is obtained. The stable compactification of the internal spaces is achieved due to the Casimir effect. In the case of more than one internal space a Casimir-like ansatz for the energy density of the massless scalar field fluctuations is proposed. Stable configurations with respect to the internal scale factor excitations are found in the cases of one and two internal spaces.
引用
@article{arxiv.gr-qc/9801013,
title = {On stable compactification with Casimir-like potential},
author = {U. Guenther and S. Kriskiv and A. Zhuk},
journal= {arXiv preprint arXiv:gr-qc/9801013},
year = {2007}
}
备注
17 pages, Latex2e, submitted to Gravitation and Cosmology, slightly revised Appendix B