Comment on: Cosmological black holes are not described by the Thakurta metric

TL;DR

This paper addresses and clarifies conceptual issues in a critique of previous work on the mathematical description of cosmological black holes, emphasizing the interpretation of quasi-local mass and matter accretion assumptions.

Contribution

The authors defend their description of cosmological black holes against recent critique, clarifying misconceptions about quasi-local mass and matter accretion assumptions.

Findings

Misner-Sharp mass interpretation is crucial for understanding cosmological black holes.

Their model does not assume matter accretion, contrary to critiques.

The critique's conceptual issues are addressed and clarified.

Abstract

Recently, H\"utsi et al.[arXiv:2105.09328] critiqued our work that reconsidered the mathematical description of cosmological black holes. In this short comment, we highlight some of the conceptual issues with this criticism in relation to the interpretation of the quasi-local Misner-Sharp mass, and the fact that our description of cosmological black holes does not impose any assumptions about matter accretion.