Orbits in bootstrapped Newtonian gravity
Anna D'Addio, Roberto Casadio, Andrea Giusti, Mariafelicia De, Laurentis
TL;DR
This paper investigates geodesics in a modified Newtonian gravity model, deriving bounds on its parameters from Solar System and galactic data, showing it aligns with General Relativity in vacuum conditions.
Contribution
It introduces and analyzes geodesics in bootstrapped Newtonian gravity, providing experimental bounds that make it indistinguishable from General Relativity in vacuum.
Findings
Bounds on free parameters from Solar System data
Bounds from S-star orbits near Galactic Centre
Vacuum bootstrapped Newtonian gravity matches General Relativity
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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