Conformal Properties of Charges in Scalar-Tensor Gravities
S. Deser, Bayram Tekin
TL;DR
This paper investigates how energy and charge definitions in scalar-tensor gravity models behave under conformal transformations, showing invariance of ADM/AD masses despite scalar field falloff conditions.
Contribution
It demonstrates the conformal invariance of ADM/AD masses in scalar-tensor gravities, clarifying their behavior under field redefinitions involving metric and scalar fields.
Findings
ADM/AD masses are invariant under conformal transformations.
Scalar charges can have slow asymptotic falloff without affecting mass invariance.
Conformal properties help understand energy definitions in scalar-tensor theories.
Abstract
We study the behavior under conformal transformations of energy and other charges in generic scalar-tensor models. This enables us to conclude that the ADM/AD masses are invariant under field redefinitions mixing metric and scalar despite the permitted slow asymptotic falloff of massless scalars.
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