Contact structures on null hypersurfaces

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AuteurATINDOGBE, CYRIAQUE
AuteurGUTIERREZ, MANUEL
AuteurHOUNNONKPE, RAYMOND
AuteurOLEA, BENJAMIN
Date d'ajout2026-06-02T16:06:57Z
Date de disponibilite2026-06-02T16:06:57Z
Date de publication2022
ResumeThe aim of this paper is to show how we can induce contact structures, contact metric structures and Sasaki structures on a null hypersurface from a rigging vector field. We give several explicit examples of this construction and some obstructions to its existence. For example, contact metric structures can be introduced only on zero null mean curvature null hypersurfaces, whereas Sasaki structures can only be introduced in totally geodesic ones. In particular we show how we can construct a Kähler halo around an isolated horizon of a black hole. We also study the stability of the construction. We prove that close enough contact metric (resp. Sasaki) structures can be connected by a one parameter family of contact metric (resp. Sasaki) structures.
DOI10.1016/j.geomphys.2022.104576
Autre identifiantBECDB-13073
URIhttps://dspace.uac.bj/handle/123456789/11240
Languefr
Fait partie deJournal of Geometry and Physics
SujetNull hypersurface
Sujetrigging technique
SujetContact structure
SujetSasaki structure
TitreContact structures on null hypersurfaces
TypeArticle

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