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Supertranslations at Timelike Infinity

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arxiv 2111.08907 v2 pith:FWU6XB4Q submitted 2021-11-17 hep-th gr-qc

Sumanta Chakraborty , Debodirna Ghosh , Sk Jahanur Hoque , Aniket Khairnar , Amitabh Virmani This is my paper · ORCID
classification hep-thgr-qc
keywords infinitytimelikeasymptoticchargesdeltafuturesupertranslationsaction
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abstract

We propose a definition of asymptotic flatness at timelike infinity in four spacetime dimensions. We present a detailed study of the asymptotic equations of motion and the action of supertranslations on asymptotic fields. We show that the Lee-Wald symplectic form $\Omega (g, \delta_1 g, \delta_2 g)$ does not get contributions from future timelike infinity with our boundary conditions. As a result, the "future charges" can be computed on any two-dimensional surface surrounding the sources at timelike infinity. We present expressions for supertranslation and Lorentz charges.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. BMS representations for generic supermomentum

    hep-th 2025-05 accept novelty 6.0 of 10

    The authors introduce a Lorentz-invariant hard/soft decomposition of supermomenta and use it to give explicit realizations, branching rules, and a memory-carrying example for generic unitary irreducible representation...

  2. Supertranslations in the bulk of spacetime

    hep-th 2025-12 conditional novelty 5.0 of 10

    Supertranslations can be defined in the bulk as changes of null hypersurfaces, extending boundary symmetries into the interior and producing a curvature-dependent memory effect in Schwarzschild.

  3. Lectures on Carrollian Holography

    hep-th 2025-11 conditional novelty 3.0 of 10

    Massless scattering amplitudes, including gravitons, can be recast as correlators of a carrollian conformal field theory on null infinity, but the non-perturbative bootstrap program remains incomplete.

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