Black holes of type D revisited: Relating their various metric forms

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Black holes of type D revisited: Relating their various metric forms

Popis výsledku v původním jazyce

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 &amp; nacute;ski-Demia &amp; nacute;ski (PD) form; the convenient Astorino (A) form, which was found recently and formally improved here (A &amp; thorn;); the Griffiths-Podolsk &amp; yacute; form; and the Podolsk &amp; yacute;-Vr &amp; aacute;tn &amp; 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 .

Název v anglickém jazyce

Black holes of type D revisited: Relating their various metric forms

Popis výsledku anglicky

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 &amp; nacute;ski-Demia &amp; nacute;ski (PD) form; the convenient Astorino (A) form, which was found recently and formally improved here (A &amp; thorn;); the Griffiths-Podolsk &amp; yacute; form; and the Podolsk &amp; yacute;-Vr &amp; aacute;tn &amp; 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 .

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10300 - Physical sciences

Projekt

<a href="/cs/project/GA23-05914S" target="_blank" >GA23-05914S: Pokročilé techniky aplikované na přesné prostoročasy s černými dírami a gravitačními vlnami</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2025

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Physical Review D

ISSN

2470-0010

e-ISSN

2470-0029

Svazek periodika

111

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

26

Strana od-do

024038

Kód UT WoS článku

001412642300002

EID výsledku v databázi Scopus

2-s2.0-85214842589