On well-posedness and algebraic type of the five-dimensional charged rotating black hole with two equal-magnitude angular momenta
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F22%3A00556312" target="_blank" >RIV/67985840:_____/22:00556312 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1140/epjc/s10052-022-10160-z" target="_blank" >https://doi.org/10.1140/epjc/s10052-022-10160-z</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1140/epjc/s10052-022-10160-z" target="_blank" >10.1140/epjc/s10052-022-10160-z</a>
Alternative languages
Result language
angličtina
Original language name
On well-posedness and algebraic type of the five-dimensional charged rotating black hole with two equal-magnitude angular momenta
Original language description
We study various mathematical aspects of the charged rotating black hole with two equal-magnitude angular momenta in five dimensions. We introduce a coordinate system that is regular on the horizon and in which Einstein-Maxwell equations reduce to an autonomous system of ODEs. Employing Bondi and Kruskal-like coordinates, we analyze the geometric regularity of the black hole metric at infinity and the horizon, respectively, and the well-posedness of the corresponding boundary value problem. We also study the algebraic types of the electromagnetic and curvature tensors. While outside the horizon the electromagnetic and Ricci tensors are of type D, the Weyl tensor is algebraically general. The Weyl tensor simplifies to type II on the horizon and type D on the bifurcation sphere. These results imply inconsistency of the metric with the Kerr-Schild form with a geodesic Kerr-Schild vector.
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
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/GA19-09659S" target="_blank" >GA19-09659S: Exact solutions of gravity theories: black holes, radiative spacetimes and electromagnetic fields</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
European Physical Journal C
ISSN
1434-6044
e-ISSN
1434-6052
Volume of the periodical
82
Issue of the periodical within the volume
3
Country of publishing house
DE - GERMANY
Number of pages
20
Pages from-to
215
UT code for WoS article
000767224700006
EID of the result in the Scopus database
2-s2.0-85126235459