Universal Journal of Physics and Application Vol. 10(4), pp. 115 - 127
DOI: 10.13189/ujpa.2016.100403
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Relativity Theory in Time-space Manifold

Ákos G. Horváth ^*
Department of Geometry, Mathematical Institute, Budapest University of Technology and Economics, Budapest, Hungary

ABSTRACT

In this paper we introduce the concept of timespace manifold. We study the affine connection, parallel transport, curvature tensor, and Einstein equation, respectively. In the case homogeneous, a time-space 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.

KEYWORDS
Time-space Manifold, Affine Connection, Parallel Transport, Curvature Tensor, Einstein Equation, Relativity Theory

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Ákos G. Horváth , "Relativity Theory in Time-space Manifold," Universal Journal of Physics and Application, Vol. 10, No. 4, pp. 115 - 127, 2016. DOI: 10.13189/ujpa.2016.100403.

(b). APA Format:
Ákos G. Horváth (2016). Relativity Theory in Time-space Manifold. Universal Journal of Physics and Application, 10(4), 115 - 127. DOI: 10.13189/ujpa.2016.100403.