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 Ω(g, δ1g, δ2g) 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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Chakraborty, S., Ghosh, D., Hoque, S.J. et al. Supertranslations at timelike infinity. J. High Energ. Phys. 2022, 22 (2022). https://doi.org/10.1007/JHEP02(2022)022
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DOI: https://doi.org/10.1007/JHEP02(2022)022