All ten SO(1,4) flux-balance laws for quadrupolar perturbations around de Sitter are derived, including new linear momentum and boost formulas, and the flat limit is recovered.
Asymptotics with a cosmological constant: The solution space
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abstract
In this work, the solution space in the Newman-Penrose formalism with a cosmological constant is derived. The residual gauge transformation preserving the solution space is also worked out. By turning off the cosmological constant, the solution space has a well-defined flat limit. The asymptotic symmetry group of the resulting solution space consists of Diff($S^2$) transformations and supertranslations.
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The $SO(1,4)$ flux-balance laws of de Sitter at quadrupolar order
All ten SO(1,4) flux-balance laws for quadrupolar perturbations around de Sitter are derived, including new linear momentum and boost formulas, and the flat limit is recovered.