Open AccessSemi-global existence and convergence of solutions of the Robinson-Trautman (2-dimensional Calabi) equation
Author(s) -
Piotr T. Chruściel
Publication year - 1991
Publication title -
communications in mathematical physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.662
H-Index - 152
eISSN - 1432-0916
pISSN - 0010-3616
DOI - 10.1007/bf02431882
Subject(s) - mathematics , convergence (economics) , constant (computer programming) , curvature , mathematical analysis , metric (unit) , mathematical physics , geometry , computer science , operations management , economics , programming language , economic growth
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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