Galactic dynamics in the presence of scalaron: A perspective from f(R) gravity
Abstract
We consider f(R) modified gravity theory incorporating the chameleon mechanism to address galactic dynamics. By employing the metric formalism and utilizing a conformal transformation, we simplify the field equations and describe the extra degree of freedom fR via a scalar field (scalaron) with chameleonic behavior. A recently proposed f(R) model is analyzed to illustrate this behavior effectively. Subsequently, the rotational velocity equation including the scalaron's contribution is derived for a test particle in a static, spherically symmetric spacetime. Then we generate rotation curves and fit them to observational data of thirty seven galaxies using two fitting parameters, M0 and rc, the total mass and core radius of a galaxy respectively.
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