北京师范大学学报（自然科学版）2017，Vol.53Issue(5)：518-527,10.DOI:10.16360/j.cnki.jbnuns.2017.05.003
内空间的整体不稳定性和动态紧致
Global instability and dynamical compactification of internal spaces
摘要
Abstract
String theory predicts extra dimensions in addition to the observed (3 + 1) dimensional spacetime.Inspired by string theory,we propose a dynamical compactification mechanism for internal spaces.We argue that the universe starts with higher-dimensional instability which causes the external universe to expand and the internal space to shrink relatively.In the framework of Einstein,in order to realize this model,we introduce the massive field and higher-order curvature terms.By introducing the Gauss-Bonnet term,we obtain a stable cosmological solution,but it cannot match our university.After continue to join the massive fields,we obtain stable solutions whose external spatial dimension is only 1 or 2.Finally,we consider the third-order Lovelock gravity,and realize the idea of the origin of our universe.关键词
宇宙学/爱因斯坦场方程/额外维/动态紧致/有质量张量场/高阶导数引力Key words
cosmology/Einstein's field equations/extra dimensions/dynamical compactification/massive tensor field/higher derivative gravity分类
天文与地球科学引用本文复制引用
耿伟鉴,吕宏..内空间的整体不稳定性和动态紧致[J].北京师范大学学报（自然科学版）,2017,53(5):518-527,10.基金项目
国家自然科学基金资助项目(11175269,11475024) （11175269,11475024）
国家自然科学基金重点资助项目(11235003) （11235003）
