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Characteristic initial data and smoothness of Scri. I. Framework and results

Autor(en)
Piotr T. Chrusciel, Tim-Torben Paetz
Abstrakt

We analyze the Cauchy problem for the vacuum Einstein equations with data on a complete light-cone in an asymptotically Minkowskian space-time. We provide conditions on the free initial data which guarantee existence of global solutions of the characteristic constraint equations. We present necessary-and-sufficient conditions on characteristic initial data in 3 + 1 dimensions to have no logarithmic terms in an asymptotic expansion at null infinity.

Organisation(en)
Gravitationsphysik
Journal
Annales Henri Poincare
Band
16
Seiten
2131-2162
Anzahl der Seiten
32
ISSN
1424-0637
DOI
https://doi.org/10.1007/s00023-014-0364-y
Publikationsdatum
09-2014
Peer-reviewed
Ja
ÖFOS 2012
103019 Mathematische Physik
ASJC Scopus Sachgebiete
Nuclear and High Energy Physics, Statistical and Nonlinear Physics, Mathematical Physics
Link zum Portal
https://ucrisportal.univie.ac.at/de/publications/0683637e-bab6-4081-8f28-c242851e9f04