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Orbits in bootstrapped Newtonian gravity

1 Pith paper cite this work. Polarity classification is still indexing.

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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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gr-qc 1

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2025 1

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CONDITIONAL 1

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representative citing papers

Star equilibrium: from BNG to TOV

gr-qc · 2025-01-08 · conditional · novelty 6.0

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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  • Star equilibrium: from BNG to TOV gr-qc · 2025-01-08 · conditional · none · ref 13 · internal anchor

    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.