基于“超能量”张量的高维Weyl张量代数分类
广义相对论与量子宇宙学
2011-05-13 v3 高能物理 - 理论
摘要
通过Weyl张量的“超能量”张量的主方向，恢复了任意维度n下Weyl张量的代数分类。这一观点有助于显式计算Weyl对齐零方向，并允许通过计算秩2对称未来张量的主特征值来获得Weyl张量的代数类型。进而可以探索与内禀引力辐射状态兼容的代数类型。其基本思想具有普适性，因此可以实现一般维度下任意张量的分类。
引用
@article{arxiv.1008.2716,
title = {Algebraic classification of the Weyl tensor in higher dimensions based on its "superenergy" tensor},
author = {José M. M. Senovilla},
journal= {arXiv preprint arXiv:1008.2716},
year = {2011}
}
备注
9 pages. Many errata corrected, including a computational mistake with relevant consequences. I have highlighted all the changes in a different color (blue). The main changes concern point (iv) in Proposition 1, and its consequences concerning the characterization of types III, II and D. A reference has been added as well as new acknowledgements. (A corrigendum has been sent to CQG)