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Semi-global existence and convergence of solutions of the Robinson-Trautman (2-dimensional Calabi) equation

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Abstract

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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Author notes

  1. Piotr T. Chruściel

    Present address: Institute of Mathematics, Polish Academy of Sciences, Warsaw

Authors and Affiliations

  1. Courant Institute, New York University, 251 Mercer Street, 10012, New York, NY, USA

    Piotr T. Chruściel

Authors
  1. Piotr T. Chruściel
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Additional information

Communicated by S.-T. Yau

Supported in part by NSF grant DMS-885773 to the Courant Institute and by the Polish Ministry of Science Research grant RPBP 01.3

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Chruściel, P.T. Semi-global existence and convergence of solutions of the Robinson-Trautman (2-dimensional Calabi) equation. Commun.Math. Phys. 137, 289–313 (1991). https://doi.org/10.1007/BF02431882

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  • DOI: https://doi.org/10.1007/BF02431882

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