Orbits in bootstrapped Newtonian gravity

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.

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

References in corpus (12)

• Detection of the Schwarzschild precession in the orbit of the star S2 near the Galactic centre massive black hole
• An Update on Monitoring Stellar Orbits in the Galactic Center
• S62 and S4711: Indications of a population of faint fast moving stars inside the S2 orbit -- S4711 on a 7.6 year orbit around Sgr~A*
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• Effective Fluid Description of the Dark Universe
• S62 on a 9.9 yr Orbit around SgrA*
• $f(R)$-gravity after the detection of the orbital precession of the S2 star around the Galactic centre massive black hole
• Quantum black holes in bootstrapped Newtonian gravity
• Effective metric outside bootstrapped Newtonian sources
• Polytropic stars in bootstrapped Newtonian gravity
• Bootstrapped Newtonian quantum gravity

Cited by in corpus (4)

• Testing modified gravity via Yukawa potential in two body problem: Analytical solution and observational constraints
• Dark Energy as a Critical Period in Binary Motion: Bounds from Multi-scale Binaries
• Approximating compact objects in bootstrapped Newtonian gravity: use of the canonical potential
• Newtonian approximation in (1 + 1) dimensions