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.
Orbits in bootstrapped Newtonian gravity
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abstract
Bootstrapped Newtonian gravity is a non-linear version of Newton's law which can be lifted to a fully geometric theory of gravity starting from a modified potential. Here, we study geodesics in the bootstrapped Newtonian effective metric in vacuum and obtain bounds on a free parameter from Solar System data and S-star orbits near our Galaxy centre. These bounds make vacuum bootstrapped Newtonian gravity experimentally indistinguishable from General Relativity.
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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.