Causal symmetries
数学物理
2016-08-16 v1 广义相对论与量子宇宙学
微分几何
math.MP
摘要
We define a new type of transformation for Lorentzian manifolds characterized by mapping every causal future-directed vector onto a causal future-directed vector. The set of all such transformations, which we call causal symmetries, has the structure of a submonoid. Some of their properties are investigated and we give necessary conditions for a vector field to be the infinitesimal generator of a one-parameter group of causal symmetries. Some examples are discussed.
引用
@article{arxiv.math-ph/0211078,
title = {Causal symmetries},
author = {A. García-Parrado and J. M. M. Senovilla},
journal= {arXiv preprint arXiv:math-ph/0211078},
year = {2016}
}
备注
Contribution to the proceedings of the 26th Spanish Relativity Meeting held at Mah\'{o}n, Menorca (Spain)