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00925njm 22002777a 4500 dc Atindogbé, Cyriaque author Gutiérrez-López, Manuel author Hounnonkpe, Raymond author Olea, Benjamín author 2022-08 The 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. Funding for open access charge: Universidad de Málaga / CBUA Cyriaque Atindogbé, Manuel Gutiérrez, Raymond Hounnonkpe, Benjamín Olea, Contact structures on null hypersurfaces, Journal of Geometry and Physics, Volume 178, 2022, 104576, ISSN 0393-0440, https://doi.org/10.1016/j.geomphys.2022.104576. https://hdl.handle.net/10630/24566 https://doi.org/10.1016/j.geomphys.2022.104576 Hipersuperficies Contact structures on null hypersurfaces