Semiglobal existence and convergence of solutions of the Robinson-Trautman (two-dimensional Calabi) equation

Chrusciel, Piotr

doi:10.1007/BF02431882

Semiglobal existence and convergence of solutions of the Robinson-Trautman (two-dimensional Calabi) equation

Piotr Chrusciel
(
- New York U., Courant Inst.
)

1991

25 pages

Published in:

Commun.Math.Phys. 137 (1991) 289-313

DOI:

10.1007/BF02431882

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Abstract: (Springer)

It is shown that for smooth initial data solutions of the Robinson-Trautman equation (also known as the two-dimensional Calabi equation) exist for all positive “times,” and asymptotically converge to a constant curvature metric.

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