Asymptotic directional structure of radiation for fields of algebraic type D

TL;DR

This paper investigates the asymptotic directional behavior of algebraically special spin-s fields, like Petrov type D gravitational fields, near various types of conformal infinity, providing a canonical framework for analysis.

Contribution

It introduces a canonical tetrad choice and characterizes the asymptotic directional structures for algebraically special fields near infinity.

Findings

Characterization of asymptotic directional structures

Canonical tetrad choice near infinity

Analysis applicable to various conformal infinities

Abstract

The directional behavior of dominant components of algebraically special spin-s fields near a spacelike, timelike or null conformal infinity is studied. By extending our previous general investigations we concentrate on fields which admit a pair of equivalent algebraically special null directions, such as the Petrov type D gravitational fields or algebraically general electromagnetic fields. We introduce and discuss a canonical choice of the reference tetrad near infinity in all possible situations, and we present the corresponding asymptotic directional structures using the most natural parametrizations.