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.

v2: 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

References in corpus (9)

• Asymptotic symmetries and subleading soft graviton theorem
• New symmetries for the Gravitational S-matrix
• Superboost transitions, refraction memory and super-Lorentz charge algebra
• (A)dS${}_4$ in Bondi gauge
• Non-equilibrium dynamics and $Ad{S}_4$ Robinson-Trautman
• A review of total energy-momenta in GR with a positive cosmological constant
• Gravitational and electromagnetic fields near a de Sitter-like infinity
• Power radiated by a binary system in a de Sitter Universe
• A geometric characterisation of real C*-algebras

Cited by in corpus (4)

• The $\Lambda$-BMS${}_4$ group of dS${}_4$ and new boundary conditions for AdS${}_4$
• 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