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Orbits in bootstrapped Newtonian gravity

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arxiv 2110.08379 v2 pith:WQFDYWTP submitted 2021-10-15 gr-qc astro-ph.SR

Anna D'Addio , Roberto Casadio , Andrea Giusti , Mariafelicia De Laurentis This is my paper · ORCID
classification gr-qcastro-ph.SR
keywords bootstrappedgravitynewtonianboundsorbitsvacuumcentredata
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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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Cited by 1 Pith paper

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  1. Star equilibrium: from BNG to TOV

    gr-qc 2025-01 conditional novelty 6.0 of 10

    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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