English

Asymptotics with a cosmological constant: The solution space

General Relativity and Quantum Cosmology 2020-11-24 v3

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(S2S^2) transformations and supertranslations.

Keywords

Cite

@article{arxiv.1901.04010,
  title  = {Asymptotics with a cosmological constant: The solution space},
  author = {Pujian Mao},
  journal= {arXiv preprint arXiv:1901.04010},
  year   = {2020}
}

Comments

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

R2 v1 2026-06-23T07:10:09.179Z