On the mass of bootstrapped Newtonian sources

TL;DR

This paper investigates the properties of the bootstrapped Newtonian potential for uniform sources, revealing its independence from one-loop matter coupling corrections and analyzing implications for mass relations and stability.

Contribution

It demonstrates that the bootstrapped Newtonian potential is unaffected by one-loop matter coupling corrections, clarifying its impact on mass relations and stability conditions.

Findings

Potential independent of one-loop matter coupling

Relation between proper mass and ADM mass affected

Pressure requirements for stability analyzed

Abstract

We show that the bootstrapped Newtonian potential generated by a uniform and isotropic source does not depend on the one-loop correction for the matter coupling to gravity. The latter however affects the relation between the proper mass and the ADM mass and, consequently, the pressure needed to keep the configuration stable.