On the well posedness of Robinson Trautman Maxwell solutions

Details On the well posedness of Robinson Trautman Maxwell solutions On the well posedness of Robinson Trautman Maxwell solutions

2007-08-14

arxiv.org/abs/0708.1933v1

Class.Quant.Grav.25:025004,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages

Scientific paper

10.1088/0264-9381/25/2/025004

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.

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