Asymptotics with a cosmological constant: The solution space

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.

arXiv commentv2: presentation improved with special emphasis on the difference/genelisation compared to [17], Appendix C added for more details on deriving the solution space, typos corrected, refs. added v3: typos corrected

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• The partial Bondi gauge: Further enlarging the asymptotic structure of gravity
• On the Various Extensions of the BMS Group
• Twisting asymptotic symmetries and algebraically special vacuum solutions
• Peeling property and asymptotic symmetries with a cosmological constant