The study of conformal geometry and its exact solution of the geodesic deviation equation
General Physics
2022-04-06 v1
Abstract
In this paper, the geometric properties of the conformal metric are studied and its exact solution of the geodesic deviation equation is presented. We also find out the stress-energy tensor of this geometry and compare it with the usual prefect-fluid case, obtaining an equation of state as in 4D space-time dimension. Finally, the low-energy regime of the metric is studied, in which we obtain the stress-energy tensor proportional to the projection tensor.
Keywords
Cite
@article{arxiv.2204.02188,
title = {The study of conformal geometry and its exact solution of the geodesic deviation equation},
author = {B. T. T. Wong},
journal= {arXiv preprint arXiv:2204.02188},
year = {2022}
}
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12 pages