Asymptotic Structure of Einstein-Maxwell-Dilaton Theory and Its Five Dimensional Origin

TL;DR

This paper analyzes the asymptotic structure of Einstein-Maxwell-dilaton theory, including Kaluza-Klein theory, revealing the nature of radiations, mass loss, and symmetry algebras in four and five dimensions.

Contribution

It provides the general asymptotic solutions in Bondi gauge and demonstrates the equivalence of asymptotic symmetry algebras in four-dimensional Einstein-Maxwell-dilaton and five-dimensional Einstein theories.

Findings

Identified three types of news functions for different radiations.

Mass density decreases with any news function present.

Asymptotic symmetry algebras are the same in both theories.

Abstract

We consider Einstein-Maxwell-dilaton theory in four dimensions including the Kaluza-Klein theory and obtain the general asymptotic solutions in Bondi gauge. We find that there are three different types of news functions representing gravitational, electromagnetic, and scalar radiations. The mass density at any angle of the system can only decrease whenever there is any type of news function. The solution space of the Kaluza-Klein theory is also lifted to five dimensions. We also compute the asymptotic symmetries in both four dimensional Einstein-Maxwell-dilaton theory and five dimensional pure Einstein theory. We find that the symmetry algebras of the two theories are the same.