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

Result code in 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>
Alternative codes found
RIV/00216208:11320/25:10508638
Result on the web
<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>

Result language
angličtina
Original language name
A new exact rotating spacetime in vacuum: The Kerr–Levi-Civita spacetime
Original language description
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.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10303 - Particles and field physics

Project
<a href="/en/project/GA22-14791S" target="_blank" >GA22-14791S: Black hole spacetimes in a general dimension, their properties and interpretation</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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