The viability of theories with matter coupled to the Ricci scalar

Abstract

Recently there has been a proposal for modified gravitational f(R) actions which include a direct coupling between the matter action and the Ricci scalar, R. Of particular interest is the specific case where both the action and the coupling are linear in R. It is shown that such an action leads to a theory of gravity which includes higher order derivatives of the matter fields without introducing more dynamics in the gravity sector and, therefore, cannot be a viable theory for gravitation.

arXiv commenttypos corrected, published version

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• Galactic rotation curves in modified gravity with non-minimal coupling between matter and geometry
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• Thermodynamics in $f(R)$ gravity in the Palatini formalism
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• Gravity with Auxiliary Fields
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• Cassini and extra force constraints to nonminimally coupled gravity with screening mechanism
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• (Non-) geodesic motion in chameleon Brans Dicke model
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• The ghost of vector fields in compact stars