Asymptotical null structure of an electro-vacuum spacetime with a cosmological constant

Abstract

Bondi–Sachs (BS) framework is a powerful tool to analyze the asymptotical null structure of a spacetime. Based on Bondi’s outgoing boundary condition, the asymptotical null structure of an electro-vacuum spacetime without a cosmological constant has been constructed clearly. Recently more and more observations imply that the Einstein equation should be modified with an nonzero cosmological constant. It is interesting to investigate the asymptotical null structure of a spacetime with a cosmological constant. In this paper, we extend our previous result from vacuum case to electro-vacuum case. We find that the gravitational sector of the asymptotical null structure depends strongly on the boundary conditions, while the electrical sector is independent of the boundary condition.