On supertranslation invariant Lorentz charges
arXiv:2407.18536 · doi:10.1007/s10714-025-03381-6
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 Compère, Gralla, and Wei (CGW), to show that our expressions for supertranslation invariant Lorentz charges match the CWY definitions at null infinity.
v2, minor revision, 15 pages, no figures, published in the special issue QG@RRI in Gen. Rel. Grav
References in corpus (4)
- Logarithmic supertranslations and supertranslation-invariant Lorentz charges
- A Supertranslation-Invariant Formula for the Angular Momentum Flux in Gravitational Scattering
- Supertranslation-Invariant Dressed Lorentz Charges
- Unified Treatment of null and Spatial Infinity IV: Angular Momentum at Null and Spatial Infinity