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/0683637e-bab6-4081-8f28-c242851e9f04