Constant Mean Curvature Spacelike Surfaces in Lorentzian Warped Products

Juan A. Aledo and Rafael M. Rubio

Advances in Mathematical Physics, 2015, vol. 2015, 1-5

Abstract:

We characterize the spacelike slices of a Lorentzian warped product as the only constant mean curvature spacelike surfaces under suitable geometrical and physical assumptions. As a consequence of our study, we derive a Bernstein-type result which widely improves and extends the state-of-the-art results in this setting.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:761302

DOI: 10.1155/2015/761302

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