A new exact rotating spacetime in vacuum: The Kerr–Levi-Civita spacetime

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F25%3A00643092" target="_blank" >RIV/67985840:_____/25:00643092 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/00216208:11320/25:10508638

Výsledek na webu

<a href="https://doi.org/10.1016/j.physletb.2025.140035" target="_blank" >https://doi.org/10.1016/j.physletb.2025.140035</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.physletb.2025.140035" target="_blank" >10.1016/j.physletb.2025.140035</a>

Jazyk výsledku

angličtina

Název v původním jazyce

A new exact rotating spacetime in vacuum: The Kerr–Levi-Civita spacetime

Popis výsledku v původním jazyce

We construct a new rotating solution of Einstein’s theory in vacuum by exploiting the Lie point symmetries of the field equations in the complex potential formalism of Ernst. In particular, we perform a discrete symmetry transformation, known as inversion, of the gravitational potential associated with the Kerr metric. The resulting metric describes a rotating generalization of the Schwarzschild-Levi-Civita spacetime, and we refer to it as the Kerr-Levi-Civita metric. We study the key geometric features of this novel spacetime, which turns out to be free of curvature singularities, topological defects, and closed timelike curves. These attractive properties are also common to the extremal black hole and the super-spinning case. The solution is algebraically general (Petrov-type I), and its horizons lie at the horizon radii of the Kerr black hole. The ergoregions, however, are strongly influenced by the Levi-Civita-like asymptotic structure, producing an effect akin to the magnetized Kerr-Newman and swirling solutions. Interestingly, while its static counterpart permits a Kerr-Schild representation, the Kerr-Levi-Civita metric does not admit such a formulation.

Název v anglickém jazyce

A new exact rotating spacetime in vacuum: The Kerr–Levi-Civita spacetime

Popis výsledku anglicky

We construct a new rotating solution of Einstein’s theory in vacuum by exploiting the Lie point symmetries of the field equations in the complex potential formalism of Ernst. In particular, we perform a discrete symmetry transformation, known as inversion, of the gravitational potential associated with the Kerr metric. The resulting metric describes a rotating generalization of the Schwarzschild-Levi-Civita spacetime, and we refer to it as the Kerr-Levi-Civita metric. We study the key geometric features of this novel spacetime, which turns out to be free of curvature singularities, topological defects, and closed timelike curves. These attractive properties are also common to the extremal black hole and the super-spinning case. The solution is algebraically general (Petrov-type I), and its horizons lie at the horizon radii of the Kerr black hole. The ergoregions, however, are strongly influenced by the Levi-Civita-like asymptotic structure, producing an effect akin to the magnetized Kerr-Newman and swirling solutions. Interestingly, while its static counterpart permits a Kerr-Schild representation, the Kerr-Levi-Civita metric does not admit such a formulation.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10303 - Particles and field physics

Projekt

<a href="/cs/project/GA22-14791S" target="_blank" >GA22-14791S: Černoděrové prostoročasy v obecné dimenzi, jejich vlastnosti a interpretace</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2025

Kód důvěrnosti údajů

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

Název periodika

Physics Letters. B

ISSN

0370-2693

e-ISSN

1873-2445

Svazek periodika

871

Číslo periodika v rámci svazku

November

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

6

Strana od-do

140035

Kód UT WoS článku

001631603300002

EID výsledku v databázi Scopus

2-s2.0-105023422589