9. Construction of Hyperboloidal Initial Data
Abstract
In this note I discuss the conformal rescaling of spacetimes, with focus on the constraint equations. I give conditions on the Cauchy data at the conformal boundary which are sufficient for regularity, and show how to construct solutions to the conformal constraint equations. Finally, I discuss gauge conditions in the conformal setting and indicate the first steps in analyzing the conformally rescaled version of the Einstein vacuum evolution equations.
- Publication:
-
The Conformal Structure of Space-Time
- Pub Date:
- 2002
- DOI:
- 10.48550/arXiv.gr-qc/0205083
- arXiv:
- arXiv:gr-qc/0205083
- Bibcode:
- 2002LNP...604..183A
- Keywords:
-
- General Relativity and Quantum Cosmology
- E-Print:
- Talk given at the Workshop on the Conformal Structure of Space-Times, T\"ubingen, April 2--4, 2001