Revisiting black holes of algebraic type D with a cosmological constant

Article

Revisiting black holes of algebraic type D with a cosmological constant

Astorino A.; Ovcharenko H.; Podolský J.

Phys. Rev. D 111(8), 084016 (2025)

Abstract

As an extension of our previous work [H. Ovcharenko et al. Phys. Rev. D 111, 024038 (2025)], we study a complete family of type D black holes with Kerr-like rotation, Newman-Unti-Tamburino (NUT) twist, acceleration, electric and magnetic charges, and any value of the cosmological constant A. We relate various metric forms of these spacetimes, namely those found by Pleba & nacute;ski-Demia & nacute;ski, Griffiths-Podolsk & yacute;, and most recently Astorino. By explicit coordinate transformations and proper identification of the physical parameters we show that these representations are locally equivalent, and cover the entire class of type D solutions of the Einstein-Maxwell-A equations, such that the (non-null) electromagnetic field is aligned with both the (double-degenerate) principal null directions of the Weyl tensor. In particular, we concentrate on the subclass which describes accelerating NUT black holes without the Kerr-like rotation.

Institute authors

Podolský, Jiří

Supported by

GACR 22-14791S — Černoděrové prostoročasy v obecné dimenzi, jejich vlastnosti a interpretace
GACR 23-05914S — Pokročilé techniky aplikované na přesné prostoročasy s černými dírami a gravitačními vlnami
SVV260833 — Aktuální problémy teoretické fyziky

BibTeX

@article{UTF1069,
  author        = {Astorino A. and Ovcharenko H. and Podolský J.},
  title         = {{Revisiting black holes of algebraic type D with a cosmological constant}},
  journal       = {Phys. Rev. D},
  volume        = {111},
  number        = {8},
  pages         = {084016},
  year          = {2025},
  doi           = {10.1103/PhysRevD.111.084016},
  eprint        = {2501.07537},
  archivePrefix = {arXiv},
  url           = {https://doi.org/10.1103/PhysRevD.111.084016},
}