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Cosmological Constraints from Hubble Parameter on f(R) Cosmologies | | F.C. Carvalho
; E.M. Santos
; J.S. Alcaniz
; J. Santos
; | | Date: |
17 Apr 2008 | | Abstract: | Modified $f(R)$ gravity in the Palatini approach has been presently applied
to Cosmology as a realistic alternative to dark energy. In this concern, a
number of authors have searched for observational constraints on several $f(R)$
gravity functional forms using mainly data of type Ia supenovae (SNe Ia),
Cosmic Microwave Background ({
m CMB}) radiation and Large Scale Structure
({
m LSS}). In this paper, by considering a homogeneous and isotropic flat
universe, we use determinations of the Hubble function $H(z)$, which are based
on differential age method, to place bounds on the free parameters of the $f(R)
= R - eta/R^{n}$ functional form. We also combine the $H(z)$ data with
constraints from Baryon Acoustic Oscillations ({
m BAO}) and {
m CMB}
measurements, obtaining ranges of values for $n$ and $eta$ in agreement with
other independent analyses. We find that, for some intervals of $n$ and
$eta$, models based on $f(R) = R - eta/R^{n}$ gravity in the Palatini
approach, unlike the metric formalism, can produce the sequence of
radiation-dominated, matter-dominated, and accelerating periods without need of
dark energy. | | Source: | arXiv, 0804.2878 | | Services: | Forum | Review | PDF | Favorites | |
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