Revisiting black holes of algebraic type D with a cosmological constant
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arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866913930276765696 |
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| author | Ovcharenko, Hryhorii Podolsky, Jiri Astorino, Marco |
| author_facet | Ovcharenko, Hryhorii Podolsky, Jiri Astorino, Marco |
| contents | As an extension of our previous work [1] (arXiv:2409.02308), we study a complete family of type D black holes with Kerr-like rotation, NUT twist, acceleration, electric and magnetic charges, and any value of the cosmological constant $Λ$. We relate various metric forms of these spacetimes, namely those found by Plebanski-Demianski (PD), Griffiths-Podolsky (GP), and most recently Astorino (A). 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-$Λ$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_07537 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Revisiting black holes of algebraic type D with a cosmological constant Ovcharenko, Hryhorii Podolsky, Jiri Astorino, Marco General Relativity and Quantum Cosmology High Energy Physics - Theory As an extension of our previous work [1] (arXiv:2409.02308), we study a complete family of type D black holes with Kerr-like rotation, NUT twist, acceleration, electric and magnetic charges, and any value of the cosmological constant $Λ$. We relate various metric forms of these spacetimes, namely those found by Plebanski-Demianski (PD), Griffiths-Podolsky (GP), and most recently Astorino (A). 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-$Λ$ 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. |
| title | Revisiting black holes of algebraic type D with a cosmological constant |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2501.07537 |