A viability criterion for modified gravity with an extra force

Abstract

A recently proposed theory of modified gravity with an explicit ``anomalous'' coupling of the Ricci curvature to matter is discussed, and an inequality is derived which expresses a necessary and sufficient condition to avoid the notorius Dolgov-Kawasaki instability.

4 latex pages, to appear in Phys. Rev. D

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• Modified f(R) gravity unifying R^m inflation with \LambdaCDM epoch
• Nonminimal coupling of perfect fluids to curvature
• The future evolution and finite-time singularities in $F(R)$-gravity unifying the inflation and cosmic acceleration
• Inflationary cosmology and the late-time accelerated expansion of the universe in non-minimal Yang-Mills-$F(R)$ gravity and non-minimal vector-$F(R)$ gravity
• Thin accretion disks in f(R) modified gravity models
• Dark energy, inflation and dark matter from modified F(R) gravity
• Perihelion precession for modified Newtonian gravity