Uniqueness of the Trautman--Bondi mass
General Relativity and Quantum Cosmology
2008-11-26 v1
Abstract
It is shown that the only functionals, within a natural class, which are monotonic in time for all solutions of the vacuum Einstein equations admitting a smooth ``piece'' of conformal null infinity Scri, are those depending on the metric only through a specific combination of the Bondi `mass aspect' and other next--to--leading order terms in the metric. Under the extra condition of passive BMS invariance, the unique such functional (up to a multiplicative factor) is the Trautman--Bondi energy. It is also shown that this energy remains well-defined for a wide class of `polyhomogeneous' metrics.
Keywords
Cite
@article{arxiv.gr-qc/9803010,
title = {Uniqueness of the Trautman--Bondi mass},
author = {Piotr T. Chruściel and Jacek Jezierski and Malcolm A. H. MacCallum},
journal= {arXiv preprint arXiv:gr-qc/9803010},
year = {2008}
}
Comments
latex, 33 pages