Recovering the fundamental plane of galaxies by $f(R)$ gravity

Abstract

The fundamental plane (FP) of galaxies can be recovered in the framework of $f(R)$ gravity avoiding the issues related to dark matter to fit the observations. In particular, the power-law version $f(R)\propto R^n$, resulting from the existence of Noether symmetries for $f(R)$, is sufficient to implement the approach. In fact, relations between the FP parameters and the corrected Newtonian potential, coming from $R^n$, can be found and justified from a physical point of view. Specifically, we analyze the velocity distribution of elliptical galaxies and obtain that $r_c$, the scale-length depending on the gravitational system properties, is proportional to $r_e$, the galaxy effective radius. This fact points out that the gravitational corrections induced by $f(R)$ can lead photometry and dynamics of the system. Furthermore, the main byproduct of such an approach is that gravity could work in different ways depending on the scales of self-gravitating systems.

arXiv comment18 pages, 3 tables, 8 figures. Accepted for publication in Phys. Dark Universe

References in corpus (13)

• Relativistic gravitation theory for the MOND paradigm
• Low surface brightness galaxies rotation curves in the low energy limit of $R^n$ gravity : no need for dark matter?
• The Power of General Relativity
• Spherically symmetric solutions in f(R)-gravity via Noether Symmetry Approach
• Cosmological Tests of Gravity
• Global Relationships Among the Physical Properties of Stellar Systems
• MOND and the "Dearth of Dark Matter in Ordinary Elliptical Galaxies"
• Analysis of Rotation Curves in the framework of R^n gravity
• Galactic rotation curves in hybrid metric-Palatini gravity
• Technical Results from the Surface Run of the LUX Dark Matter Experiment
• Recovering MOND from extended metric theories of gravity
• Mergers in Galaxy Groups. II. The Fundamental Plane of Elliptical Galaxies
• The hybrid solution for the Fundamental Plane

Cited by in corpus (1)

• The commutator algebra of covariant derivative as general framework for extended gravity. The Rastall theory case and the role of the torsion