On asymptotic structure at null infinity in five dimensions

TL;DR

This paper investigates the asymptotic structure at null infinity in five-dimensional spacetime using coordinate-based methods, defining null infinity, asymptotic symmetries, and deriving a conserved Bondi mass expression.

Contribution

It introduces a coordinate-based approach to analyze null infinity in five dimensions, where conformal methods are ineffective, and derives key asymptotic properties.

Findings

Defined null infinity in five dimensions

Identified asymptotic symmetry group

Derived conserved Bondi mass expression

Abstract

We discuss the asymptotic structure of null infinity in five dimensional space-time. Since it is known that the conformal infinity is not useful for odd higher dimensions, we shall employ the coordinate based method like the Bondi coordinate firstly introduced in four dimensions. Then we define the null infinity and identify the asymptotic symmetry. We also derive the Bondi mass expression and show its conservation law.