English

Orbits in bootstrapped Newtonian gravity

General Relativity and Quantum Cosmology 2022-05-18 v2 Solar and Stellar Astrophysics

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.

Keywords

Cite

@article{arxiv.2110.08379,
  title  = {Orbits in bootstrapped Newtonian gravity},
  author = {Anna D'Addio and Roberto Casadio and Andrea Giusti and Mariafelicia De Laurentis},
  journal= {arXiv preprint arXiv:2110.08379},
  year   = {2022}
}

Comments

REVTeX 4, 11 pages, 5 figures, 5 tables. Version to appear in PRD

R2 v1 2026-06-24T06:56:00.993Z