Regular Article - Theoretical Physics
Cosmological black holes are not described by the Thakurta metric: LIGO-Virgo bounds on PBHs remain unchanged
Laboratory of High Energy and Computational Physics, NICPB, Rävala pst. 10, 10143, Tallinn, Estonia
2 Laboratory of Theoretical Physics, University of Tartu, W. Ostwaldi 1, 50411, Tartu, Estonia
3 Institut de Fisica d’Altes Energies (IFAE), The Barcelona Institute of Science and Technology, Campus UAB, 08193, Bellaterra, Barcelona, Spain
Accepted: 3 November 2021
Published online: 13 November 2021
We show that the physical conditions which induce the Thakurta metric, recently studied by Bœhm et al. in the context of time-dependent black hole masses, correspond to a single accreting compact object in the entire Universe filled with isotropic non-interacting dust. In such a case, accretion physics is not local but tied to the properties of the whole Universe. We show that radiation, primordial black holes or particle dark matter cannot produce the specific energy flux required for supporting the mass growth of the compact objects described by the Thakurta metric. In particular, this solution does not apply to black hole binaries. We conclude that compact dark matter candidates and their mass growth cannot be described by the Thakurta metric, and thus existing constraints on the primordial black hole abundance from the LIGO-Virgo and the CMB measurements remain valid.
© The Author(s) 2021
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