Curvature scalar instability in f(R) gravity

Thomas P. Sotiriou

Curvature scalar instability in f(R) gravity

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arxiv gr-qc/0611107 v2 pith:5TWJDD25 submitted 2006-11-20 gr-qc astro-phhep-th

Thomas P. Sotiriou This is my paper · ORCID

classification gr-qcastro-phhep-th

keywords instabilitygravityformalismpalatiniactionappearancebeencorrection

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An instability in the presence of matter in theories of gravity which include a 1/R correction in the gravitational action has been found by Dolgov and Kawasaki. In the present paper this instability is discussed for f(R) gravity in general. We focus on the Palatini formalism of the theory and it is shown that no such instability occurs in this version of f(R) gravity. The reasons for the appearance of the instability in the metric but not in the Palatini formalism are fully investigated.

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Cosmological phase space of generalized hybrid metric-Palatini theories of gravity
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A dynamical-systems analysis of f(R,ℛ) hybrid metric-Palatini gravity shows no global attractors in the cosmological phase space and only two classes of fixed-point scale factors, one of which predicts a jerk paramete...

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