Higher derivative asymptotic charges and internal Lorentz symmetries

TL;DR

This paper explores higher derivative asymptotic charges in gravity, revealing their relation to two-derivative charges and highlighting the importance of internal Lorentz symmetries, which are absent in simpler models.

Contribution

It introduces a framework for defining higher derivative asymptotic charges and demonstrates their connection to existing two-derivative charges, emphasizing the role of internal Lorentz transformations.

Findings

Higher derivative BMS charges relate to two-derivative BMS charges.

Internal Lorentz transformations are relevant in the higher derivative case.

A prescription for defining higher derivative charges is provided.

Abstract

In line with a recent proposal for the study of asymptotic gravitational charges, we investigate higher derivative asymptotic charges. We show that the higher derivative BMS charges are related to the two-derivative BMS charges. Significantly, we find that internal Lorentz transformations are relevant in the higher derivative case in contrast to the two-derivative case. We give a prescription for their precise definition and derive the associated charges, finding, again, a relation with two-derivative BMS charges.