Advances in Mathematical Physics (Jan 2015)
Constant Mean Curvature Spacelike Surfaces in Lorentzian Warped Products
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.