Conformal Vector Fields and Null Hypersurfaces

Autor: Cyriaque Atindogbé, Benjamín Olea
Rok vydání: 2022
Předmět:
Zdroj: RIUMA. Repositorio Institucional de la Universidad de Málaga
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ISSN: 1420-9012
1422-6383
2020-1184
DOI: 10.1007/s00025-022-01653-0
Popis: We give conditions for a conformal vector field to be tangent to a null hypersurface. We particularize to two important cases: a Killing vector field and a closed and conformal vector field. In the first case, we obtain a result ensuring that a null hypersurface is a Killing horizon. In the second one, the vector field gives rise to a foliation of the manifold by totally umbilical hypersurfaces with constant mean curvature which can be spacelike, timelike or null. We prove several results which ensure that a null hypersurface with constant null mean curvature is a leaf of this foliation. Open Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature. Funding for open access charge: Universidad de Málaga/ CBUA. The second author is partially supported by Ministry of Sciences and Innovation (MICINN) I+D+I Grant No. PID2020-118452GB-I00 and Junta de Andalucía-FEDER research Project UMA18-FEDERJA-183. Funding for open access charge: Universidad de Málaga / CBUA
Databáze: OpenAIRE
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