Constraints on $R^n$ gravity from precession of orbits of S2-like stars

Abstract

We study some possible observational signatures of $R^n$ gravity at Galactic scales and how these signatures could be used for constraining this type of $f(R)$ gravity. For that purpose, we performed two-body simulations in $R^n$ gravity potential and analyzed the obtained trajectories of S2-like stars around Galactic center, as well as resulting parameter space of $R^n$ gravity potential. Here, we discuss the constraints on the $R^n$ gravity which can be obtained from the observations of orbits of S2-like stars with the present and next generations of large telescopes. We make comparison between the theoretical results and observations. Our results show that the most probable value for the parameter $r_c$ in $R^n$ gravity potential in the case of S2-like stars is $\sim$100 AU, while the universal parameter $\beta$ is close to 0.01. Also, the $R^n$ gravity potential induces the precession of S2-like stars orbit in opposite direction with respect to General Relativity, therefore, such a behavior of orbits qualitatively is similar to a behavior of Newtonian orbits with a bulk distribution of matter (including a stellar cluster and dark matter distributions).

12 pages, 12 figures, accepted in Phys. Rev. D

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• Estimating the Parameters of Extended Gravity Theories with the Schwarzschild Precession of S2 Star
• Towards an observational test of black hole versus naked singularity at the galactic center
• The Galactic Center as a laboratory for theories of gravity and dark matter
• Constraints on Yukawa gravity parameters from observations of bright stars
• Testing modified gravity via Yukawa potential in two body problem: Analytical solution and observational constraints
• Testing the Galactic Centre potential with S-stars
• The generalized second law of thermodynamics for interacting $f(R)$ gravity
• Influence of bulk mass distribution on orbital precession of S2 star in Yukawa gravity
• Estimating the parameters of Hybrid Palatini gravity model with the Schwarzschild precession of S2, S38 and S55 stars: case of bulk mass distribution
• Tests of gravity theories with Galactic Center observations
• Null and Timelike Geodesics Near the Throats of Phantom Scalar Field Wormholes
• Constraints on metric-affine gravity black holes from the stellar motion at the Galactic Center
• Unscreening of f(R) gravity near the galactic center black hole: Testability through pericenter shift below S0-2's orbit
• Dark Energy as a Critical Period in Binary Motion: Bounds from Multi-scale Binaries
• Big Bang Nucleosynthesis with $f(R)$ gravity scalarons and astrophysical consequences
• Constraining primordial black hole masses through $f(R)$ gravity scalarons in Big Bang Nucleosynthesis