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