Teleparallel Newton--Cartan gravity

Philip K. Schwartz

Teleparallel Newton--Cartan gravity

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arxiv 2211.11796 v3 pith:VOHTJARH submitted 2022-11-21 gr-qc hep-thmath-phmath.MP

Philip K. Schwartz This is my paper · ORCID

classification gr-qchep-thmath-phmath.MP

keywords gravitylimitnewton--cartannewtonianteleparallelformulationgeneralrelativity

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We discuss a teleparallel version of Newton--Cartan gravity. This theory arises as a formal large-speed-of-light limit of the teleparallel equivalent of general relativity (TEGR). Thus, it provides a geometric formulation of the Newtonian limit of TEGR, similar to standard Newton--Cartan gravity being the Newtonian limit of general relativity. We show how by a certain gauge-fixing the standard formulation of Newtonian gravity can be recovered.

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