Approximate Lie Symmetry Conditions of Autoparallels and Geodesics

Sameerah Jamal

Abstract and Applied Analysis, 2020, vol. 2020, 1-5

Abstract:

This paper is devoted to the study of approximate Lie point symmetries of general autoparallel systems. The significance of such systems is that they characterize the equations of motion of a Riemannian space under an affine parametrization. In particular, we formulate the first-order symmetry determining equations based on geometric requirements and stipulate that the underlying Riemannian space be approximate in nature. Lastly, we exemplify the results by application to some approximate wave-like manifolds.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:8814657

DOI: 10.1155/2020/8814657

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