Abstract
We deal with spacelike hypersurfaces immersed with some constant rth mean curvature in a steady state type spacetime, that is, a generalized Robertson–Walker spacetime of the type \({-\mathbb{R} \times_{e^t} M^n}\). In this setting, supposing that the fiber M n of the ambient space has nonnegative constant sectional curvature, we establish characterization results concerning domains of the spacelike slices \({\{t\} \times M^n}\). Afterwards, we apply such characterization results to study the uniqueness of complete spacelike hypersurfaces with one end in such a ambient space.
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Aquino, C.P., de Lima, H.F., dos Santos, F.R. et al. Spacelike hypersurfaces with constant rth mean curvature in steady state type spacetimes. J. Geom. 106, 85–96 (2015). https://doi.org/10.1007/s00022-014-0234-2
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DOI: https://doi.org/10.1007/s00022-014-0234-2