Riemann-Cartan、Lorentzian 与遥平行时空上的守恒律
数学物理
2008-01-29 v9 math.MP
摘要
本文使用 Clifford 丛形式体系考察：(a) 在一般 Riemann-Cartan 时空以及 Lorentzian 与遥平行时空的特殊情形下，仅涉及物质场的能量-动量与角动量的守恒律存在的强条件；以及 (b) 当引力场概念可被严格定义时，物质场与引力场的能量-动量与角动量守恒律存在的条件。我们详细考察了关于广义相对论与 Riemann-Cartan（包括遥平行这一特例）理论中守恒律问题的若干具误导性乃至错误且常被引用的论述。
引用
@article{arxiv.math-ph/0605008,
title = {Conservation Laws on Riemann-Cartan, Lorentzian and Teleparallel Spacetimes},
author = {Waldyr A. Rodrigues and Quintino A. G. de Souza and Roldao da Rocha},
journal= {arXiv preprint arXiv:math-ph/0605008},
year = {2008}
}
备注
Some sections have been rewritten for better inteligibility and some new material and new references have been included and others updated. Some important misprints of the previous version have been corrected. The contents of this paper appeared in two parts in Bull. Soc. Sci. Lodz. Series 57, Ser. Res. on Deformations, 52, 37-65, 66-77 (2007)