Galilean Covariance and the Gravitational Field
S.C. Ulhoa, F.C. Khanna, A.E. Santana
TL;DR
This paper develops a Galilean covariant gravitational theory to analyze planetary perihelion advances, paralleling general relativity's predictions in a non-relativistic framework.
Contribution
It introduces a locally covariant Galilean gravity theory and demonstrates its application to planetary perihelion precession analysis.
Findings
Galilean gravity can model perihelion advance similarly to general relativity.
The theory provides a non-relativistic approach to gravitational phenomena.
Results align with relativistic predictions in the post-Newtonian approximation.
Abstract
The paper is concerned with the development of a gravitational field theory having locally a covariant version of the Galilei group. We show that this Galilean gravity can be used to study the advance of perihelion of a planet, following in parallel with the result of the (relativistic) theory of general relativity in the post-Newtonian approximation.
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