Unique Carrollian manifolds emerging from Einstein spacetimes

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F25%3A00140983" target="_blank" >RIV/00216224:14310/25:00140983 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1088/1361-6382/adbb4e" target="_blank" >https://doi.org/10.1088/1361-6382/adbb4e</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/1361-6382/adbb4e" target="_blank" >10.1088/1361-6382/adbb4e</a>

Result language
angličtina
Original language name
Unique Carrollian manifolds emerging from Einstein spacetimes
Original language description
We explicitly determine all shear-free null hypersurfaces embedded in an Einstein spacetime, including vacuum asymptotically flat spacetimes. We characterize these hypersurfaces as oriented 3-dimensional manifolds where each is equipped with a coframe basis, a structure group and a connection. Such manifolds are known as null hypersurface structures (NHSs). The coframe and connection one-forms for an NHS appear as solutions to the projection of the Cartan structure equations onto the null hypersurface. We then show that each NHS corresponds to a Carrollian structure equipped with a unique pair of Ehresmann connection and affine connection.
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
—
OECD FORD branch
10100 - Mathematics

Project
<a href="/en/project/EH22_010%2F0007541" target="_blank" >EH22_010/0007541: MSCAfellow6_MUNI</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

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

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