Can higher order curvature theories explain rotation curves of galaxies?

Abstract

Higher order curvature gravity has recently received a lot of attention due to the fact that it gives rise to cosmological models which seem capable of solving dark energy and quintessence issues without using "ad hoc" scalar fields. In this letter, a gravitational potential is obtained which differs from the Newtonian one because of a repulsive correction increasing with distance. We evaluate the rotation curve of our Galaxy and compare it with the observed data in order both to test the viability of these theories and to estimate the scalelength of the correction. It is remarkable that the Milky Way rotation curve is well fitted without the need of any dark matter halo and a similar result tentatively holds also for other galaxies.

8 pages, to appear in Phys. Lett. A

References in corpus (11)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• A Flat Universe from High-Resolution Maps of the Cosmic Microwave Background Radiation
• Modified gravity with negative and positive powers of the curvature: unification of the inflation and of the cosmic acceleration
• Curvature Quintessence
• Rotation Curves of Spiral Galaxies
• Modified Newtonian Dynamics as an Alternative to Dark Matter
• Curvature quintessence matched with observational data
• 1/R Curvature Corrections as the Source of the Cosmological Acceleration
• Cosmological implications of the MAXIMA-I high resolution Cosmic Microwave Background anisotropy measurement
• Linear Potentials and Galactic Rotation Curves

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