A peeling theorem for the Weyl tensor in higher dimensions

TL;DR

This paper extends the peeling theorem for the Weyl tensor to higher-dimensional Lorentzian manifolds, generalizing the four-dimensional case and analyzing various subcases.

Contribution

It introduces a generalized peeling theorem for the Weyl tensor in higher dimensions, expanding the understanding from four-dimensional spacetime.

Findings

Derived a higher-dimensional peeling theorem for the Weyl tensor

Identified generic behavior of the Weyl tensor in higher dimensions

Recovered the classical four-dimensional result as a special case

Abstract

A peeling theorem for the Weyl tensor in higher dimensional Lorentzian manifolds is presented. We obtain it by generalizing a proof from the four dimensional case. We derive a generic behavior, discuss interesting subcases and retrieve the four dimensional result.