On the well posedness of Robinson-Trautman-Maxwell solutions
2008 (English)In: Classical and quantum gravity, ISSN 0264-9381, E-ISSN 1361-6382, Vol. 25, no 2, 025004- p.Article in journal (Refereed) Published
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.
Place, publisher, year, edition, pages
2008. Vol. 25, no 2, 025004- p.
Astronomy & Astrophysics; Physics, Multidisciplinary; Physics, Particles & Fields
IdentifiersURN: urn:nbn:se:kth:diva-36266DOI: 10.1088/0264-9381/25/2/025004ISI: 000252930800004ScopusID: 2-s2.0-37549000971OAI: oai:DiVA.org:kth-36266DiVA: diva2:430506
QC 201107112011-07-112011-07-112011-07-11Bibliographically approved