Constant Mean Curvature Spacelike Surfaces in Lorentzian Warped Products

Juan A. Aledo and Rafael M. Rubio

Advances in Mathematical Physics, 2015, vol. 2015, issue 1

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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https://doi.org/10.1155/2015/761302

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2015:y:2015:i:1:n:761302

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