Energy definition for quadratic curvature gravities

TL;DR

This paper defines a conserved current for quadratic curvature gravity models, linking it to Deser-Tekin charges at the linearized level and providing explicit expressions for new massive gravity in three dimensions.

Contribution

It introduces a conserved current for quadratic curvature gravities and connects it to existing charge definitions, offering explicit formulas for specific models.

Findings

Conserved current matches Deser-Tekin charges at linearized level

Explicit charge expression for new massive gravity in 3D

Discussion of implications of linearized equations

Abstract

A conserved current for generic quadratic curvature gravitational models is defined, and it is shown that, at the linearized level, it corresponds to the Deser-Tekin charges. An explicit expression for the charge for new massive gravity in three dimensions is given. Some implications of the linearized equations are discussed.