Supertranslations at Spatial and Timelike Infinities in the First-Order Formalism
General Relativity and Quantum Cosmology
2025-01-14 v2 High Energy Physics - Theory
Abstract
We study supertranslations at spatial and future timelike infinity in the first-order formalism. We relax the Ashtekar-Engle-Sloan boundary conditions to allow supertranslations at the spatial infinity and obtain the precise form of the tetrads and Lorentz connections. Employing the covariant phase space technique we obtain the Hamiltonian charges for the supertranslations at both timelike and spatial infinities. The charges obtained are shown to match the expressions reported adopting the metric-based approach.
Keywords
Cite
@article{arxiv.2409.01783,
title = {Supertranslations at Spatial and Timelike Infinities in the First-Order Formalism},
author = {Divyesh N. Solanki and Srijit Bhattacharjee},
journal= {arXiv preprint arXiv:2409.01783},
year = {2025}
}
Comments
More explanations added; minor corrections made; almost matches with the published version