Gravitational and electromagnetic fields near an anti-de Sitter-like infinity

TL;DR

This paper investigates the asymptotic behavior of gravitational and electromagnetic fields near anti-de Sitter-like infinity, revealing how radiation patterns depend on algebraic type and null direction orientation.

Contribution

It introduces the dependence of radiation patterns on null direction and principal null directions at anti-de Sitter-like infinity, extending the understanding beyond standard peeling properties.

Findings

Radiative components depend on null direction approaching infinity.

Radiation pattern is influenced by Petrov type and null direction orientation.

Orientation dependence is a new feature compared to spacelike infinity.

Abstract

We analyze asymptotic structure of general gravitational and electromagnetic fields near an anti-de Sitter-like conformal infinity. Dependence of the radiative component of the fields on a null direction along which the infinity is approached is obtained. The directional pattern of outgoing and ingoing radiation, which supplements standard peeling property, is determined by the algebraic (Petrov) type of the fields and also by orientation of principal null directions with respect to the timelike infinity. The dependence on the orientation is a new feature if compared to spacelike infinity.