An f(R) model for dark matter: rotation curves and gravitational lensing

Abstract

There should be two ways to describe the flat rotation curves of galaxies and cluster of galaxies. Either one can introduce a dark matter component for the matter filling the halo, or by modifying the gravity theory and give the flat rotation curve a geometrical nature. Here we adopt an f(R) model suitable for describing the effect. After matching the solution with the exterior solution, the effective density, radial and tangential pressures are obtained. Then the energy conditions and lensing effect is investigated.

References in corpus (11)

• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Low surface brightness galaxies rotation curves in the low energy limit of $R^n$ gravity : no need for dark matter?
• Spherically symmetric solutions of modified field equations in f(R) theories of gravity
• Dark matter as a geometric effect in f(R) gravity
• The moment of truth for WIMP Dark Matter
• Generalized virial theorem in f(R) gravity
• Perfect Fluid Dark Matter
• An $f(R)$ gravitation for galactic environments
• f(R) Gravity: From the Pioneer Anomaly to the Cosmic Acceleration
• Geodesic Congruences in the Palatini f(R) Theory
• Comments on "Modeling Galaxy Halos Using Dark Matter with Pressure"

Cited by in corpus (1)

• New explanation for accelerated expansion and flat galactic rotation curves