Effect of Dark Matter Distribution on Scalaron Gravity near the Galactic Center Black Hole and Its Prospects

Abstract In this paper, we report the effect of exponential and power-law dark matter density profiles near Galactic Center black hole on relative scalaron field amplitude , ψ 0 / ϕ ( being Newtonian potential amplitude), f(R) gravity theory. Constraints derived earlier basis orbital motion S-2 star are used in conjunction with scalarons having a mass range 10 −22 –10 −16 eV to investigate dependency screening or unscreening modified through condition that rate pericenter shift due is equal + general relativistic effects. The semimajor axes chosen as = 45 au, 100 1000 au. It found get screened for extremely low high mass. This be independent spin χ 0.1–0.9). For wider orbits almost all masses tend remain unscreened profiles. has been natural tendency unscreen small coupling strength. We remap available observational constraints scale hole. Astrophysical prospects presented.