Institute of Theoretical Physics · Faculty of Mathematics and Physics, Charles University
arXiv:1905.01231 (2019)
We find necessary and sufficient conditions ensuring that the vacuum development of an initial data set of the Einstein’s field equations admits a conformal Killing vector. We refer to these conditions as conformal Killing initial data (CKID) and they extend the well-known Killing initial data (KID) that have been known for a long time. The procedure used to find the CKID is a classical argument, which is reviewed and presented in a form that may have an independent interest, based on identifying a suitable propagation identity and checking the well-posedness of the corresponding initial value problem. As example applications, we review the derivation of the KID conditions, as well as give a more thorough treatment of the homothetic Killing initial data (HKID) conditions than was previously available in the literature.
@misc{UTF785,
author = {García-Parrado, A. and Khavkine, I.},
title = {{Conformal Killing Initial Data}},
year = {2019},
eprint = {1905.01231},
archivePrefix = {arXiv},
}