Comments on conformal masses, asymptotics backgrounds and conservation laws

TL;DR

This paper examines conformal mass definitions in higher-dimensional and higher-curvature gravity theories, deriving their relations to Komar integrals without relying on conformal infinity formalism.

Contribution

It provides a derivation of conformal mass prescriptions related to Komar integrals without using conformal infinity formalism.

Findings

Conformal mass prescriptions are closely related to Komar integrals.

Relations are derived without using conformal infinity formalism.

The work clarifies the connection between different mass definitions in gravity theories.

Abstract

The "conformal mass prescriptions" were used recently to calculate the mass of spacetimes in higher dimensional and higher curvature theories of gravity. These definitions are closely related to Komar integrals for spacetimes that are conformally flat at great distances from the sources. We derive these relations without using the conformal infinity formalism.