Phantom crossing, equation-of-state singularities, and local gravity constraints in f(R) models - INSPIRE

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Phantom crossing, equation-of-state singularities, and local gravity constraints in f(R) models

May, 2007

7 pages

Published in:

Phys.Lett.B 660 (2008) 125-132

e-Print:

0705.0396 [astro-ph]

DOI:

10.1016/j.physletb.2007.12.041

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Abstract: (Elsevier)

We identify the class of f(R) dark energy models which have a viable cosmology, i.e. a matter dominated epoch followed by a late-time acceleration. The deviation from a ΛCDM model ( f=R−Λ ) is quantified by the function m=Rf,RR/f,R . The matter epoch corresponds to m(r=−1)≃+0 (where r=−Rf,R/f ) while the accelerated attractor exists in the region 0⩽m<1 . We find that the equation of state wDE of all such “viable” f(R) models exhibits two features: wDE diverges at some redshift zc and crosses the cosmological constant boundary (“phantom crossing”) at a redshift zb smaller than zc . Using the observational data of Supernova Ia and Cosmic Microwave Background, we obtain the constraint m1 as r approaches −1.

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