Comment on "Apparent horizons of the Thakurta spacetime and the description of cosmological black holes"

Abstract: The findings discussed in "Apparent Horizons of the Thakurta Spacetime and the Description of Cosmological Black Holes" deviate from prior research, particularly our study in Phys. Rev. D 95, 084031 (2017). We clarify this inconsistency, which arises from employing a coordinate transformation covering a distinct region of spacetime -- specifically one considered inaccessible due to its location beyond a singularity, making it unreachable from infinity. Additionally, we provide a concrete example where the distinct horizons and spacetime regions are readily discernible.