On the well posedness of Robinson Trautman Maxwell solutions

Abstract

We show that the so called Robinson-Trautman-Maxwell equations do not constitute a well posed initial value problem. That is, the dependence of the solution on the initial data is not continuous in any norm built out from the initial data and a finite number of its derivatives. Thus, they can not be used to solve for solutions outside the analytic domain.

9 pages

References in corpus (1)

• Gravitational waves in general relativity: XIV. Bondi expansions and the ``polyhomogeneity'' of \Scri

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