Reply to "Comment on: Cosmological black holes are not described by the
  Thakurta metric"
  In this reply, we address the comment [arXiv:2105.14908] to our recent paper
[arXiv:2105.09328], where we argued that the Thakurta metric does not describe
cosmological black holes. We clarify that the mass growth of Thakurta black
holes is due to an influx of energy (i.e. accretion), which, by definition, is
not a feature of geometry. The conclusions of [arXiv:2105.09328] are
independent of the interpretation of this energy flux. We show that the average
energy density of primordial Thakurta black holes scales as $a^{-2}$ and
requires an unrealistic and fine-tuned energy transfer from a smooth dark
matter component to the primordial black hole sector.
