 Finite-time blow-up of mean curvature in geodesic slicing

ID: finite-time-blow-up-of-mean-curvature-in-geodesic-slicing

In vacuum geodesic slicing, discarding nonnegative shear leaves

\partial_{t} K = K^{2} /3

. Positive initial

K_{0}

therefore gives

K = K_{0} / [1 - K_{0} (t - t_{0}) /3]

and blows up at

t = t_{0} + 3/ K_{0}

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