TY - JOUR

T1 - Teleparallel Newton–Cartan gravity

AU - Schwartz, Philip K.

N1 - Funding Information: I wish to thank Domenico Giulini for valuable discussions, and Lennart Janshen, Christian Pfeifer and Sascha Gehrmann for providing helpful comments on the manuscript.

PY - 2023/4/24

Y1 - 2023/4/24

N2 - 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.

AB - 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.

KW - Galilei geometry

KW - Newton-Cartan gravity

KW - Newtonian limit

KW - teleparallel equivalent of general relativity

KW - teleparallel gravity

UR - http://www.scopus.com/inward/record.url?scp=85153882333&partnerID=8YFLogxK

U2 - 10.1088/1361-6382/accc02

DO - 10.1088/1361-6382/accc02

M3 - Article

VL - 40

JO - Classical and Quantum Gravity

JF - Classical and Quantum Gravity

SN - 0264-9381

IS - 10

M1 - 105008

ER -