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

Abstract

Noncommutative geometry, as conceptualized by Nicolini, Smailagic, and Spallucci, may be viewed as a slight modification of Einstein's theory. The same can be said for $f(R)$ modified gravity for an appropriate choice of the function $f(R)$. Since such an $f(R)$ could be determined from the noncommutative-geometry background, these gravitational theories make very similar predictions in the discussion of (a) dark matter and (b) traversable wormholes; they can therefore be taken as equally viable models.

9 pages, no figures

References in corpus (7)

• Wormhole geometries in f(R) modified theories of gravity
• Modified-gravity wormholes without exotic matter
• Dark matter as a geometric effect in f(R) gravity
• Hawking Radiation as Quantum Tunneling from Noncommutative Schwarzschild Black Hole
• Quark matter as dark matter in modeling galactic halo
• Modeling galactic halos with predominantly quintessential matter
• Casimir effect in Snyder Space