Dain's invariant on non-time symmetric initial data sets
General Relativity and Quantum Cosmology
2017-05-15 v2
Abstract
We extend Dain's construction of a geometric invariant characterising static initial data sets for the vacuum Einstein field equations to situations with a non-vanishing extrinsic curvature. This invariant gives a measure of how much the initial data sets deviates from stationarity. In particular, it vanishes if and only if the initial data set is stationary. Thus, the invariant provides a quantification of the amount of gravitational radiation contained in the initial data set.
Cite
@article{arxiv.1701.05434,
title = {Dain's invariant on non-time symmetric initial data sets},
author = {Juan A. Valiente Kroon and Jarrod L. Williams},
journal= {arXiv preprint arXiv:1701.05434},
year = {2017}
}