Comments on "A clarification on prevailing misconceptions in unimodular gravity"

TL;DR

This paper critically examines a recent comment on unimodular gravity, clarifying misconceptions and emphasizing the importance of fundamental principles like diffeomorphism invariance and energy-momentum conservation.

Contribution

It provides a detailed critique of the previous comment, clarifying key concepts and offering a broader perspective on unimodular gravity's foundational issues.

Findings

Highlights the incomplete and confusing aspects of the previous presentation.

Clarifies the distinction between assumptions and misconceptions in unimodular gravity.

Emphasizes the fundamental role of diffeomorphism invariance and energy-momentum conservation.

Abstract

In this comment on arXiv:2308.07360 it is pointed out that though the authors raise an important question on the prevailing presentations of the unimodular gravity their own presentation is incomplete as well as confusing equating assumptions to misconceptions. We focus on the notion of diffeomorphism invariance, general covariance and the conservation/nonconservation of the energy-momentum tensor in this short note to delineate the fundamental issues in unimodular gravity. The present discussion is intended to offer a wider and deeper perspective on the objective set by the authors in their paper.