Abstract
We apply the well know Omori–Yau generalized maximum principle (Omori in J Math Soc Jpn 19:205–214, 1967; Yau in Commun Pure Appl Math 28:201–228, 1975), as well as a suitable extension of it that was established in a joint work with Caminha (Caminha and de Lima in Gen Relat Grav 41:173–189, 2009), in order to investigate Bernstein-type properties of complete spacelike hypersurfaces immersed in a generalized Robertson–Walker spacetime, which is supposed to obey a standard convergence condition.
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