On the foliation of space-time by constant mean curvature hypersurfaces
Claus Gerhardt
Abstract
Open-access reader
Claus Gerhardt
Abstract
Open-access reader
We prove that the mean curvature $τ$ of the slices given by a constant mean curvature foliation can be used as a time function, i.e. $τ$ is smooth with non-vanishing gradient.
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We prove that the mean curvature $τ$ of the slices given by a constant mean curvature foliation can be used as a time function, i.e. $τ$ is smooth with non-vanishing gradient.
Key concepts: Foliation (geology), Mean curvature, Constant (computer programming), Mathematics, Curvature, Mathematical analysis, Mean curvature flow, Center of curvature