Comment on `The Classical Limit of Teleparallel Gravity'

TL;DR

This paper critically examines claims about the Newtonian limit of teleparallel gravity, refuting the idea that torsion must vanish if a regular Newtonian limit exists, thereby clarifying theoretical misunderstandings.

Contribution

It provides a critical analysis of recent claims about the Newtonian limit in teleparallel gravity, clarifying misconceptions about torsion's role.

Findings

Refutes the claim that torsion must vanish in the Newtonian limit.

Clarifies the conditions under which a Newtonian limit exists in teleparallel gravity.

Highlights misconceptions in recent literature regarding teleparallel gravity's Newtonian limit.

Abstract

We critically discuss the claims of a recent article regarding the Newtonian limit of the teleparallel equivalent of general relativity (TEGR) in pure-tetrad formulation (arXiv:2406.17594). In particular, we refute this article's purported main result that if a regular Newtonian limit exists, the torsion of the limiting derivative operator (i.e., connection) necessarily vanishes.