A New extension of general relativistic theory

TLDR: In this paper, the possibility of a new extension of the general relativistc theory using Finsler geometry was considered, and it was shown that this theory can include the general theory of relativity under a certain special condition.

Abstract: The possibility of a new extension of the general relativistc theory will be considered using Finsler geometry. The extension of Einstein’s general relativity can be expected to regard gravitational, electroweak, and strong interactive fields as geometrical structure of a spacetime based on Finsler geometry. Indeed, it will be shown that this theory can include the general theory of relativity under a certain special condition. In addition, Maxwell’s equations will be expressed using new metric representations of the electromagnetic vector and its tensor. Moreover, it will be suggested that this theory may include metric representations of weak and strong interactive fields.