Connecting noncommutative geometry to f(R) modified gravity

Abstract

It is shown in this note that a noncommutative-geometry background determines the modified-gravity function $f(R)$ for modeling dark matter.

7 pages, no figures

References in corpus (8)

• Wormhole geometries in f(R) modified theories of gravity
• Low surface brightness galaxies rotation curves in the low energy limit of $R^n$ gravity : no need for dark matter?
• Dark matter as a geometric effect in f(R) gravity
• Hawking Radiation as Quantum Tunneling from Noncommutative Schwarzschild Black Hole
• Analysis of Rotation Curves in the framework of R^n gravity
• Dark matter and dark energy as a effects of Modified Gravity
• Accounting for some aspects of dark matter and dark energy via noncommutative geometry
• Revisiting galactic rotation curves given a noncommutative-geometry background

Cited by in corpus (1)

• Comparing $f(R)$ modified gravity and noncommutative geometry in the context of dark matter and traversable wormholes: a survey