On supertranslation invariant Lorentz charges
Abstract
In recent papers, Fuentealba, Henneaux, and Troessaert (FHT) gave definitions for supertranslation invariant Lorentz charges in the ADM Hamiltonian formalism and showed that their definitions match with the Chen, Wang, Yau (CWY) definitions of Lorentz charges at null infinity which are free from ``supertranslation ambiguities''. In this brief note, motivated by the analysis of FHT, we write expressions for the supertranslation invariant Lorentz charges in Beig-Schmidt variables at spacelike and timelike infinity. We present calculations, building upon the work of Comp\`ere, Gralla, and Wei (CGW), to show that our expressions for supertranslation invariant Lorentz charges match the CWY definitions at null infinity.
Cite
@article{arxiv.2407.18536,
title = {On supertranslation invariant Lorentz charges},
author = {Sumanta Chakraborty and Sk Jahanur Hoque and Amitabh Virmani},
journal= {arXiv preprint arXiv:2407.18536},
year = {2025}
}
Comments
v2, minor revision, 15 pages, no figures, published in the special issue QG@RRI in Gen. Rel. Grav