Conformal infinity in Robinson-Trautman spacetimes with cosmological constant

TL;DR

This paper explores the conformal infinity of Robinson-Trautman spacetimes with a negative cosmological constant, motivated by the AdS/CFT correspondence, filling a gap in understanding their asymptotic structure.

Contribution

It provides initial results on the conformal infinity of these spacetimes, extending previous work that focused on their past horizon and asymptotic behavior.

Findings

Initial results on conformal infinity with negative cosmological constant

Extension of Robinson-Trautman spacetime analysis to include conformal boundary

Insights relevant for AdS/CFT correspondence applications

Abstract

In past, the future asymptotic behavior (with respect to initial data on null hypersurface) of Robinson-Trautman spacetime was examined and its past horizon characterized. Therefore, only the investigation of conformal infinity is missing from the picture. We would like to present some initial results concerning conformal infinity when negative cosmological constant is present motivated by the AdS/CFT correspondence.