Galilean Theories of Gravitation
R. De Pietri, L. Lusanna, M. Pauri
TL;DR
This paper introduces generalized Galilean theories of gravitation derived from general relativity, highlighting their invariance under extended Galilei gauge groups and exploring specific models.
Contribution
It presents a novel limiting procedure from general relativity to derive new Galilean gravitation theories with gauge invariance properties.
Findings
Two of the three theories are invariant under an extended Galilei gauge group
Theories are obtained via a limiting process from the ADM action of general relativity
The work broadens the understanding of non-relativistic gravitational models
Abstract
A generalization of Newtonian gravitation theory is obtained by a suitable limiting procedure from the ADM action of general relativity coupled to a mass-point. Three particular theories are discussed and it is found that two of them are invariant under an extended Galilei gauge group.
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Taxonomy
TopicsRelativity and Gravitational Theory · Experimental and Theoretical Physics Studies