2013/05/01 by Ákos G. Horváth, Horváth, Ákos G.
Physics and Astronomy · #51P05 #83A05 #83D05 #83F05 #Advanced Differential Geometry Research #Cosmology and Gravitation Theories #FOS: Physical sciences #General Physics (physics.gen-ph) #Relativity and Gravitational Theory
paper · pdf · doi:10.48550/arxiv.1305.0092
openalex publication_date 2013/05/01 · openalex created_date 2022/08/30 · openalex updated_date 2026/07/28
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.