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On the mass of bootstrapped Newtonian sources
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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.
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Star equilibrium: from BNG to TOV
Adding TOV-inspired post-Newtonian terms to bootstrapped Newtonian gravity makes the central pressure of homogeneous stars negative before BNG black hole formation, while no Buchdahl limit appears.
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