Quasi-local instantaneous charges asymptotics at spatial infinity
General Relativity and Quantum Cosmology
2022-03-15 v2
Abstract
The article aims to analyze a construction of charges (conserved quantities) for the gravity field in the (3+1) decomposition. The construction is based on (3+1) splitting of conformal Yano--Killing (CYK) two-form. The splitting leads to charges, defined on Cauchy surface, which are combined from components of Weyl tensor and conformal Killing vector. The relations between the conserved quantities and its classical ADM counterparts are revisited. Asymptotic behavior of the conserved quantities is described. The charges are analyzed for a particular choice of initial data, among others, Bowen -- York spinning black hole.
Keywords
Cite
@article{arxiv.2005.06515,
title = {Quasi-local instantaneous charges asymptotics at spatial infinity},
author = {Jacek Jezierski and Tomasz Smołka},
journal= {arXiv preprint arXiv:2005.06515},
year = {2022}
}
Comments
27 pages. arXiv admin note: substantial text overlap with arXiv:1903.06907