Journal
CLASSICAL AND QUANTUM GRAVITY
Volume 25, Issue 2, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0264-9381/25/2/025004
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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 cannot be used to solve for solutions outside the analytic domain.
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