Closed conformal Killing-Yano initial data

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F22%3A00559079" target="_blank" >RIV/67985840:_____/22:00559079 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1088/1361-6382/ac5fbe" target="_blank" >https://doi.org/10.1088/1361-6382/ac5fbe</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/1361-6382/ac5fbe" target="_blank" >10.1088/1361-6382/ac5fbe</a>

Result language
angličtina
Original language name
Closed conformal Killing-Yano initial data
Original language description
Through an exhaustive search, we produce a five-parameter family of propagation identities for the closed conformal Killing-Yano (cCYK) equation on two-forms, which hold on an Einstein cosmological vacuum spacetime in any dimension n > 4. It is well-known that spacetimes admitting a non-degenerate two-form of this type are exhausted by the Kerr-NUT-(A)dS family of exact higher dimensional black hole solutions. As a consequence, we identify a set of necessary and sufficient conditions ensuring that the cosmological vacuum development of an initial data set for Einstein's field equations admits a cCYK two-form. We refer to these conditions as closed conformal Killing-Yano initial data equations. The four-dimensional case is special and is treated separately, where we can also handle the conformal Killing-Yano equation without the closed condition.
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
10101 - Pure mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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