On the mass of bootstrapped Newtonian sources

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.

arXiv comment11 pages, 7 figures

References in corpus (4)

• Matter and gravitons in the gravitational collapse
• Quantum corpuscular corrections to the Newtonian potential
• Bootstrapping Newton Gravity
• Bootstrapped Newtonian stars and black holes

Cited by in corpus (7)

• Effective metric outside bootstrapped Newtonian sources
• Polytropic stars in bootstrapped Newtonian gravity
• Orbits in bootstrapped Newtonian gravity
• Binary mergers in bootstrapped Newtonian gravity: mass gap and black hole area law
• Compact sources and cosmological horizons in lower dimensional bootstrapped Newtonian gravity
• Approximating compact objects in bootstrapped Newtonian gravity: use of the canonical potential
• Newtonian approximation in (1 + 1) dimensions