Relativity theory in time-space
General Physics
2016-06-09 v4
Abstract
The concept of time-space defined in an earlier paper of the author is a certain generalization of the so-called space-time. In this paper we introduce the concept of time-space manifolds. In the homogeneous case, a time-space manifold is a differentiable manifold with such tangent spaces which have a certain fixed time-space structure. We redefine the fundamental concepts of global relativity theory with respect to this general situation. We study the concepts of affine connection, parallel transport, curvature tensor and Einstein equation, respectively.
Cite
@article{arxiv.1305.0092,
title = {Relativity theory in time-space},
author = {Ákos G. Horváth},
journal= {arXiv preprint arXiv:1305.0092},
year = {2016}
}
Comments
20 pages. arXiv admin note: substantial text overlap with arXiv:1212.0278