Asymptotic structure of radiation in higher dimensions

TL;DR

This paper generalizes the understanding of gravitational radiation's asymptotic structure to higher-dimensional spacetimes, revealing universal directional properties linked to spacetime algebraic types.

Contribution

It provides a comprehensive characterization of gravitational fields near conformal infinity in any dimension, extending four-dimensional results to higher dimensions.

Findings

Peeling-like behavior of the Weyl tensor is confirmed in higher dimensions.

The directional structure of radiation is universal and depends on algebraic type.

Results unify the understanding of gravitational radiation across different spacetime dimensions.

Abstract

We characterize a general gravitational field near conformal infinity (null, spacelike, or timelike) in spacetimes of any dimension. This is based on an explicit evaluation of the dependence of the radiative component of the Weyl tensor on the null direction from which infinity is approached. The behaviour similar to peeling property is recovered, and it is shown that the directional structure of radiation has a universal character that is determined by the algebraic type of the spacetime. This is a natural generalization of analogous results obtained previously in the four-dimensional case.