Viable Singularity-Free f(R) Gravity Without a Cosmological Constant

Abstract

Several authors have argued that self-consistent $f(R)$ gravity models distinct from $\Lambda$CDM are almost ruled out. Confronting such claims, we present a particular two-parameter $f(R)$ model that: (a) is cosmologically viable and distinguishable from $\Lambda$CDM; (b) is compatible with the existence of relativistic stars; (c) is free of singularities of the Ricci scalar during the cosmological evolution and (d) allows the addition of high curvature corrections that could be relevant for inflation.

4 pages, 3 figures, accepted for publication in Phys. Rev. Lett

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• Observational constraints on viable f(R) parametrizations with geometrical and dynamical probes
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