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Supertranslations at Spatial and Timelike Infinities in the First-Order Formalism

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arxiv 2409.01783 v2 pith:73HXBB2M submitted 2024-09-03 gr-qc hep-th

Divyesh N. Solanki , Srijit Bhattacharjee This is my paper · ORCID
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keywords spatialsupertranslationstimelikechargesfirst-orderformalisminfinitiesinfinity
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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.

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