Constraining Extended Gravity Models by S2 star orbits around the Galactic Centre

Abstract

We investigate the possibility to explain theoretically the observed deviations of S2 star orbit around the Galactic Centre using gravitational potentials derived from modified gravity models in absence of dark matter. To this aim, an analytic fourth-order theory of gravity, non-minimally coupled with a massive scalar field is considered. Specifically, the interaction term is given by analytic functions $f(R)$ and $f(R,\varphi )$ where $R$ is the Ricci scalar and $\varphi$ is a scalar field whose meaning can be related to further gravitational degrees of freedom. We simulate the orbit of S2 star around the Galactic Centre in $f(R)$ (Yukawa-like) and $f(R,\varphi )$ (Sanders-like) gravity potentials and compare it with NTT/VLT observations. Our simulations result in strong constraints on the range of gravity interaction. In the case of analytic functions $f(R)$, we are not able to obtain reliable constraints on the derivative constants $f_1$ and $f_2$, because the current observations of S2 star indicated that they may be highly mutually correlated. In the case of analytic functions $f(R,\varphi )$, we are able to obtain reliable constraints on the derivative constants $f_0$, $f_R$, $f_{RR}$, $f_{\varphi }$, $f_{\varphi \varphi }$ and $f_{\varphi R}$. The approach we are proposing seems to be sufficiently reliable to constrain the modified gravity models from stellar orbits around Galactic Centre.

9 pages, 6 figure to appear in Phys. Rev. D

References in corpus (15)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Extended Theories of Gravity and their Cosmological and Astrophysical Applications
• Low surface brightness galaxies rotation curves in the low energy limit of $R^n$ gravity : no need for dark matter?
• The Cosmology of f(R) Gravity in the Metric Variational Approach
• The Newtonian Limit of F(R) gravity
• Solar system and equivalence principle constraints on f(R) gravity by chameleon approach
• Analysis of Rotation Curves in the framework of R^n gravity
• Orbital precession due to central-force perturbations
• Solar system constraints on R${}^n$ gravity
• Constraining the range of Yukawa gravity interaction from S2 star orbits
• Constraints on $R^n$ gravity from precession of orbits of S2-like stars
• Apoastron Shift Constraints on Dark Matter Distribution at the Galactic Center
• Gravitational lensing in fourth order gravity
• A general solution in the Newtonian limit of f(R)- gravity
• Constraints on $R^n$ gravity from precession of orbits of S2-like stars: a case of a bulk distribution of mass

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