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    Rights statement: This is an author-created, un-copyedited version of an article accepted for publication/published in Journal of Cosmology and Astroparticle Physics. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at doi:10.1088/1475-7516/2018/11/044

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Extended cosmology in Palatini f (R)-theories

Research output: Contribution to Journal/MagazineJournal articlepeer-review

Article number044
<mark>Journal publication date</mark>27/11/2018
<mark>Journal</mark>Journal of Cosmology and Astroparticle Physics
Issue number11
Number of pages23
Publication StatusPublished
<mark>Original language</mark>English


Abstract. We consider the cosmological models based on Palatini f (R)-theory for the function f (R) = αR − 2 β R2 − 3R γ , which, when only dust visible matter is considered, is called dune cosmology in view of the shape of the function f (R(a)) (being a the scale factor). We discuss the meaning of solving the model, and interpret it according to the Ehlers-Pirani-Schild framework as defining a Weyl geometry on spacetime.
Accordingly, we extend the definitions of luminosity distance, proper distance, and red-shift to Weyl geometries and fit the values of parameters to SNIa data. Since the theoretical prediction is model-dependent, we argue that the fit is affected by an extra choice, namely a model for atomic clocks, which, in principle, produces observable effects. To the best of our knowledge, these effects have not being considered in the literature before.