A new geometric invariant on initial data for Einstein equations
General Relativity and Quantum Cosmology
2009-11-10 v2
Abstract
For a given asymptotically flat initial data set for Einstein equations a new geometric invariant is constructed. This invariant measure the departure of the data set from the stationary regime, it vanishes if and only if the data is stationary. In vacuum, it can be interpreted as a measure of the total amount of radiation contained in the data.
Cite
@article{arxiv.gr-qc/0406099,
title = {A new geometric invariant on initial data for Einstein equations},
author = {Sergio Dain},
journal= {arXiv preprint arXiv:gr-qc/0406099},
year = {2009}
}
Comments
5 pages. Important corrections regarding the generalization to the non-time symmetric case