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arXiv · 2401.16912

Extremal and weakly trapped submanifolds in Generalized Robertson-Walker spacetimes

José A. S. Pelegrín
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Abstract

In this article we obtain new rigidity results for spacelike submanifolds of arbitrary codimension in Generalized Robertson-Walker spacetimes. Namely, under appropriate assumptions such as parabolicity we prove by means of some maximum principles that they must be contained in a spacelike slice. This enables us to characterize extremal and weakly trapped submanifolds in these ambient spacetimes.

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José A. S. Pelegrín. 2024-01-30. Extremal and weakly trapped submanifolds in Generalized Robertson-Walker spacetimes. https://doi.org/10.1016/j.jmaa.2021.125533

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