Null hypersurfaces in Brinkman spacetimes

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AuteurATINDOGBE, COMLAN CYRIAQUE
AuteurKEMADJOU, THEOPHILE MBIAKOP
Date d'ajout2026-06-02T16:06:57Z
Date de disponibilite2026-06-02T16:06:57Z
Date de publication2020
ResumeWe study normalized null hypersurfaces in Brinkmann spacetimes with special attention paid to Plane Fronted Waves. We explore geodesibil- ity criterion and characterization for null hypersurfaces in links with relative position of a global parallel null vector field or under relative harmonicity con- dition on the local H−factor of the P F W −metric. We prove that there is no compact null hypersurfaces in Plane Fronted Waves for which the local H−factor has sign. We point out that Lorentzian Einstein manifolds with non zero cosmology constant admit no global parallel null vector field, and the same is for Lorentzian space forms with non zero sectional curvature. We establish sufficient conditions for the unicity up to constant factor of parallel null vector field.
Autre identifiantBECDB-10250
URIhttps://dspace.uac.bj/handle/123456789/9111
Languefr
Fait partie deBulletin of Mathematical Analysis and Applications
SujetNormalized null hypersurface
SujetBrinkmann spacetimes
SujetPlane Fronted
SujetWaves
SujetParallel null vector field
TitreNull hypersurfaces in Brinkman spacetimes
TypeArticle

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