A note on the peeling theorem in higher dimensions

TL;DR

This paper extends the peeling theorem for the Weyl tensor to higher even dimensions under certain assumptions, advancing understanding of asymptotic structure at null infinity in higher-dimensional spacetimes.

Contribution

It provides the first demonstration of the peeling property of the Weyl tensor in higher even dimensions, laying groundwork for future research on asymptotic behaviors.

Findings

Peeling property demonstrated in higher even dimensions

Provides initial steps towards understanding null infinity in higher dimensions

Establishes conditions under which the peeling theorem holds

Abstract

We demonstrate the ``peeling property'' of the Weyl tensor in higher dimensions in the case of even dimensions (and with some additional assumptions), thereby providing a first step towards understanding of the general peeling behaviour of the Weyl tensor, and the asymptotic structure at null infinity, in higher dimensions.