A duality relation : global monopole and texture
广义相对论与量子宇宙学
2007-05-23 v1
摘要
We resolve the entire gravitational field;i.e. the Riemann curvature into its electric and magnetic parts. In general, the vacuum Einstein equation is symmetric in active and passive electric parts. However it turns out that the Schwarzschild solution, which is the unique spherically symmetric vacuum solutions can be characterised by a slightly more general equation which is not symmetric. Then the duality transformation, implying interchange of active and passive parts will relate the Schwarzschlid particle with the one with global monopole charge. That is the two are dual of each-other. It further turns out that flat spacetime is dual to massless global monopole and global texture spacetimes.
关键词
引用
@article{arxiv.gr-qc/9712021,
title = {A duality relation : global monopole and texture},
author = {Naresh Dadhich},
journal= {arXiv preprint arXiv:gr-qc/9712021},
year = {2007}
}
备注
10 pages, LaTeX version