2024/104/1-2 (7)
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DOI: 10.5486/PMD.2024.9646
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pp. 137-157
Rigged scalar curvature on null hypersurfaces of GRW spacetimes
Authors:
Amrinder Pal Singh 
, Cyriaque Atindogbe , Rakesh Kumar and Varun Jain
Abstract:
We use the natural correspondence between totally umbilical null hypersurfaces of generalized Robertson—Walker (GRW) spacetimes and twisted decomposition of the fibres, to study the rigged scalar curvature of totally umbilical null graphs of GRW spacetimes. Finally, a special attention is paid to totally geodesic ones.
Keywords: null hypersurfaces, rigging vector field, rigged scalar curvature, generalized Robertson—Walker spacetimes
Mathematics Subject Classification: 53C50, 53C40, 53C42