Black holes of type D revisited: Relating their various metric forms
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F25%3A10502471" target="_blank" >RIV/00216208:11320/25:10502471 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=h43cMNP.NY" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=h43cMNP.NY</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/PhysRevD.111.024038" target="_blank" >10.1103/PhysRevD.111.024038</a>
Alternative languages
Result language
angličtina
Original language name
Black holes of type D revisited: Relating their various metric forms
Original language description
We investigate a complete family of spacetimes which represent black holes with (Kerr) rotation, Newman-Unti-Tamburino (NUT) twist, acceleration, as well as electric and magnetic charges. These are exact solutions of the Einstein-Maxwell equations with any cosmological constant, such that the (non-null) electromagnetic field is aligned with both the double-degenerate principal null directions (PNDs) of the Weyl tensor. In particular, we explicitly relate various coordinates and the corresponding physical parameters of such solutions, namely the original Pleba & nacute;ski-Demia & nacute;ski (PD) form; the convenient Astorino (A) form, which was found recently and formally improved here (A & thorn;); the Griffiths-Podolsk & yacute; form; and the Podolsk & yacute;-Vr & aacute;tn & yacute; form of the metric. It is demonstrated that, if properly mapped and physically interpreted, all these representations cover the complete class of type D black holes. Using the new A-parameters, the two main PD quartic metric functions are factorized into the product of quadratic expressions, enabling thus an explicit analysis. Moreover, we clarify the role of the twist parameter omega, related to both the Kerr-like rotation and the NUT parameters a and l, respectively. Special attention is paid to the elusive subclass of accelerating NUT black holes with a 1 / 4 0 .
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10300 - Physical sciences
Result continuities
Project
<a href="/en/project/GA23-05914S" target="_blank" >GA23-05914S: Advanced Techniques Applied to Black-Hole and Gravitational-Wave Exact Spacetimes</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Physical Review D
ISSN
2470-0010
e-ISSN
2470-0029
Volume of the periodical
111
Issue of the periodical within the volume
2
Country of publishing house
US - UNITED STATES
Number of pages
26
Pages from-to
024038
UT code for WoS article
001412642300002
EID of the result in the Scopus database
2-s2.0-85214842589