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

Author(s)
Piotr T. Chrusciel, Tim-Torben Paetz
Abstract

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(s)
Gravitational Physics
Journal
Annales Henri Poincare
Volume
16
Pages
2131-2162
No. of pages
32
ISSN
1424-0637
DOI
https://doi.org/10.1007/s00023-014-0364-y
Publication date
09-2014
Peer reviewed
Yes
Austrian Fields of Science 2012
103019 Mathematical physics
ASJC Scopus subject areas
Nuclear and High Energy Physics, Statistical and Nonlinear Physics, Mathematical Physics
Portal url
https://ucrisportal.univie.ac.at/en/publications/characteristic-initial-data-and-smoothness-of-scri-i-framework-and-results(0683637e-bab6-4081-8f28-c242851e9f04).html