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arXiv · 2111.08907

Supertranslations at Timelike Infinity

Sumanta Chakraborty·Debodirna Ghosh·Sk Jahanur Hoque·Aniket Khairnar·Amitabh Virmani
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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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Sumanta Chakraborty, Debodirna Ghosh, Sk Jahanur Hoque, Aniket Khairnar, Amitabh Virmani. 2021-11-17. Supertranslations at Timelike Infinity. https://doi.org/10.1007/jhep02(2022)022

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