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High Energy Physics - Theory

arXiv:2111.08907 (hep-th)
[Submitted on 17 Nov 2021 (v1), last revised 21 Jan 2022 (this version, v2)]

Title:Supertranslations at Timelike Infinity

Authors: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.
Comments: 46 pages; v2 47 pages, refs + comments added, version to appear in JHEP
Subjects: High Energy Physics - Theory (hep-th); General Relativity and Quantum Cosmology (gr-qc)
Cite as: arXiv:2111.08907 [hep-th]
  (or arXiv:2111.08907v2 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.2111.08907
Journal reference: JHEP 02 (2022) 022
Related DOI: https://doi.org/10.1007/JHEP02%282022%29022

Submission history

From: Amitabh Virmani [view email]
[v1] Wed, 17 Nov 2021 05:03:32 UTC (534 KB)
[v2] Fri, 21 Jan 2022 12:11:12 UTC (535 KB)
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