TL;DR
This paper explores the relationship between ADM and Bondi masses in asymptotically-flat spacetimes with scalar sources, using Bekenstein's transformation to establish positivity of the ADM mass despite the conformal-scalar energy conditions.
Contribution
It demonstrates how Bekenstein's transformation links ADM and Bondi masses, allowing positivity results for the ADM mass even with non-standard energy conditions.
Findings
Established positivity of ADM mass for scalar field sources.
Linked ADM and Bondi masses through Bekenstein's transformation.
Extended positivity results beyond standard energy conditions.
Abstract
We use a transformation due to Bekenstein to relate the ADM and Bondi masses of asymptotically-flat solutions of the Einstein equations with, respectively, scalar sources and conformal-scalar sources. Although the conformal-scalar energy-momentum tensor does not satisfy the Dominant Energy Condition one may, by this means, still conclude that the ADM mass is positive.
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