Conformal infinity in Robinson-Trautman spacetimes with cosmological constant

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.

Keywords

• conformal infinity
• cosmological constant
• boundary stress energy tensor
• Hamilton-Jacobi theory
• renormalization