Supertranslations at timelike infinity

Authors

Sumanta Chakraborty, Indian Association for the Cultivation of Science
Debodirna Ghosh, Chennai Mathematical Institute
Sk Jahanur Hoque, Charles University
Aniket Khairnar, University of Mississippi
Amitabh Virmani, Chennai Mathematical Institute

Document Type

Article

Publication Date

2-1-2022

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.

Relational Format

journal article

Recommended Citation

Chakraborty, S., Ghosh, D., Hoque, S. J., Khairnar, A., & Virmani, A. (2022). Supertranslations at timelike infinity. Journal of High Energy Physics, 2022(2), 22. https://doi.org/10.1007/JHEP02(2022)022

DOI

10.1007/JHEP02(2022)022

Accessibility Status

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