English

Study of the de Sitter space-time and its behavior at infinity

General Relativity and Quantum Cosmology 2021-12-16 v1

Abstract

The aim of this manuscript is to review the studies about de Sitter solution and the null infinity of asymptotically flat and de Sitter space-times. Thus, after introducing the de Sitter space-time, the symmetry group is described. Also precise definitions of asymptotically flat and de Sitter space-times are reviewed. Henceforth, the null infinities and the asymptotic symmetry groups of these two space-times are considered, which lead to the Fefferman-Graham approach and the Penrose-Newman formalism.

Keywords

Cite

@article{arxiv.2112.08032,
  title  = {Study of the de Sitter space-time and its behavior at infinity},
  author = {Djeyrane-Sophie Erfani and Hossein Shojaie},
  journal= {arXiv preprint arXiv:2112.08032},
  year   = {2021}
}
R2 v1 2026-06-24T08:18:13.517Z