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Calabi-Bernstein problems for spacelike slices in certain generalized Robertson-Walker spacetimes. (English) Zbl 1230.53056

Plaue, Matthias (ed.) et al., Advances in Lorentzian geometry. Proceedings of the Lorentzian geometry conference in Berlin, Germany, November 18–21, 2009. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-5352-8/pbk). AMS/IP Studies in Advanced Mathematics 49, 11-16 (2011).
Summary: All entire solutions to the maximal surface differential equation in certain generalised Robertson-Walker space-times obeying several energy conditions are found. Motivated by this problem, we study the corresponding parametric version.
For the entire collection see [Zbl 1216.53005].

MSC:

53C42 Differential geometry of immersions (minimal, prescribed curvature, tight, etc.)
53C50 Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics
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