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Teleparallel Newton--Cartan gravity (2211.11796v3)

Published 21 Nov 2022 in gr-qc, hep-th, math-ph, and math.MP

Abstract: 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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