带有扭转亲和力的曲时空 Weyl 张量
广义相对论与量子宇宙学
2025-01-20 v4
摘要
我们将爱因斯坦-卡尔德理论中，对曲时空 Weyl 张量的世界定义，转化为具有扭转的 Infeld 和 van der Waerden 的 形式论的框架中。 resulting expression shows us that it is not possible to attain any general condition for conformal flatness in such a spacetime even if wave functions for gravitons are eventually taken to vanish identically. A short discussion on the situation concerning the limiting case of general relativity is presented thereafter. 结果表明，即使引力子的波函数最终被取为零，在此类时空中也不可能获得任何关于共形平坦性的一般条件。随后简要讨论了广义相对论极限情况下的情形。
关键词
引用
@article{arxiv.2409.07364,
title = {On the Weyl Tensor for a Curved Spacetime Endowed with a Torsionful Affinity},
author = {J. G. Cardoso},
journal= {arXiv preprint arXiv:2409.07364},
year = {2025}
}
备注
Some modifications have been made to Section 2 of the article, in connection with a reviewer's suggestion. The current version has been accepted for publication in the Annals of Physics journal. An acknowledgement byline has likewise been introduced