闵可夫斯基时空下引力理论的类麦克斯韦表述
数学物理
2009-06-23 v5 math.MP
摘要
本文利用 Clifford 丛形式主义,给出了闵可夫斯基时空下引力场的一种杨-米尔斯型(带规范固定项与自相互作用项)的拉格朗日理论。说明了两个简单的假设如何允许将该形式主义解释为有效的洛伦兹或遥平行几何。在理论的洛伦兹几何解释情形下,场方程被证明等价于爱因斯坦方程。
引用
@article{arxiv.math-ph/0608017,
title = {A Maxwell Like Formulation of Gravitational Theory in Minkowski Spacetime},
author = {Eduardo A. Notte-Cuello and Waldyr A. Rodrigues},
journal= {arXiv preprint arXiv:math-ph/0608017},
year = {2009}
}
备注
This is a version of a paper published in Int. J. Mod. Phs. D 16(6), 1027-1041 (2007) where some misprints and typos have been corrected, some references have been updated, a footnote has been added and some few sentences have been rewritten to better explain the role of the (plastic) deformation tensor h