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Are f(R) dark energy models cosmologically viable ?

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HAL-IN2P3
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  • [Phys.Astr.Co] Physics [Physics]/Astrophysics [Astro-Ph]/Cosmology And Extra-Galactic Astrophysics [
  • [Phys.Grqc] Physics [Physics]/General Relativity And Quantum Cosmology [Gr-Qc]
  • [Phys.Hphe] Physics [Physics]/High Energy Physics - Phenomenology [Hep-Ph]
  • [Phys.Hthe] Physics [Physics]/High Energy Physics - Theory [Hep-Th]
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Abstract

We show that all f(R) modified gravity theories are conformally identical to models of quintessence in which matter is coupled to dark energy with a large coupling. This strong coupling induces a cosmological evolution radically different from standard cosmology. We find that in all f(R) theories that behave as a power of R at large or small R (which include all those proposed so far in the literature) the scale factor during the matter phase grows as t^{1/2} instead of the standard law t^{2/3}. This behaviour is grossly inconsistent with cosmological observations (e.g. WMAP), thereby ruling out these models even if they pass the supernovae test and can escape the local gravity constraints.

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