# Asymptotics with a cosmological constant: The solution space

## TL;DR

This paper derives the solution space in the Newman-Penrose formalism with a cosmological constant, explores residual gauge transformations, and analyzes the asymptotic symmetry group, including its flat limit and structure.

## Contribution

It provides a detailed derivation of the solution space with a cosmological constant and characterizes the asymptotic symmetries, including their flat limit.

## Key findings

- Solution space derived in Newman-Penrose formalism with cosmological constant
- Residual gauge transformations identified
- Asymptotic symmetry group includes Diff(S^2) and supertranslations

## 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.