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Article Dans Une Revue Journal of High Energy Physics Année : 2022

Metric reconstruction from celestial multipoles

Geoffrey Compère
  • Fonction : Auteur
Ali Seraj
  • Fonction : Auteur

Résumé

The most general vacuum solution to Einstein's field equations with no incoming radiation can be constructed perturbatively from two infinite sets of canonical multipole moments, which are found to be exchanged under gravitational electric-magnetic duality at the non-linear level. We demonstrate that in non-radiative regions such spacetimes are completely characterized by a set of conserved celestial charges that consist of the Geroch-Hansen multipole moments, the generalized BMS charges and additional celestial multipoles accounting for subleading memory effects. Transitions among non-radiative regions, induced by radiative processes, are therefore labelled by celestial charges, which are identified in terms of canonical multipole moments of the linearized gravitational field. The dictionary between celestial charges and canonical multipole moments allows to holographically reconstruct the metric in de Donder, Newman-Unti or Bondi gauge outside of sources.
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hal-03718356 , version 1 (14-04-2023)

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Geoffrey Compère, Roberto Oliveri, Ali Seraj. Metric reconstruction from celestial multipoles. Journal of High Energy Physics, 2022, 22, pp.001. ⟨10.1007/JHEP11(2022)001⟩. ⟨hal-03718356⟩
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