English

Thakurta metric does not describe a cosmological black hole

General Relativity and Quantum Cosmology 2022-08-02 v5 Cosmology and Nongalactic Astrophysics High Energy Physics - Theory

Abstract

Recently, the Thakurta metric has been adopted as a model of primordial black holes. We show that the spacetime described by this metric has neither black-hole event horizon nor black-hole trapping horizon and involves the violation of all the standard energy conditions as a solution of the Einstein equation. Therefore, this metric does not describe a cosmological black hole in the early universe. It is pointed out that a contradictory claim by the other group stems from an incorrect choice of sign.

Keywords

Cite

@article{arxiv.2106.06651,
  title  = {Thakurta metric does not describe a cosmological black hole},
  author = {Tomohiro Harada and Hideki Maeda and Takuma Sato},
  journal= {arXiv preprint arXiv:2106.06651},
  year   = {2022}
}

Comments

6 pages, 2 figures, discussion expanded, conclusion unchanged