# Comment on "Astrophysical gravitational waves in conformal gravity"

## TL;DR

This paper critically examines recent claims about gravitational radiation in conformal gravity, clarifying that the theories differ significantly depending on parameter signs, impacting their physical interpretations.

## Contribution

It clarifies the distinction between conformal gravity and massive conformal gravity, challenging previous assumptions about their equivalence based on parameter signs.

## Key findings

- The sign of the parameter critically affects the theory's correspondence.
- Massive conformal gravity is not equivalent to conformal gravity for positive parameters.
- The previous claim of equivalence is invalid for certain parameter choices.

## Abstract

Recently, in Phys. Rev. D 98, 084002 (2018), an investigation was carried out on the gravitational radiation from binary systems in conformal gravity and massive conformal gravity. According to the authors of the paper, these two theories differ only by the sign of a parameter in the matter action of a general conformal theory. For a negative parameter the general conformal theory indeed corresponds to conformal gravity. However, here, we argue that for a positive parameter the general conformal theory does not correspond to massive conformal gravity.