Transition redshift in $f(T)$ cosmology and observational constraints

Abstract

We extract constraints on the transition redshift $z_{tr}$, determining the onset of cosmic acceleration, predicted by an effective cosmographic construction, in the framework of $f(T)$ gravity. In particular, employing cosmography we obtain bounds on the viable $f(T)$ forms and their derivatives. Since this procedure is model independent, as long as the scalar curvature is fixed, we are able to determine intervals for $z_{tr}$. In this way we guarantee that the Solar-System constraints are preserved and moreover we extract bounds on the transition time and the free parameters of the scenario. We find that the transition redshifts predicted by $f(T)$ cosmology, although compatible with the standard $\Lambda$CDM predictions, are slightly smaller. Finally, in order to obtain observational constraints on $f(T)$ cosmology, we perform a Monte Carlo fitting using supernova data, involving the most recent union 2.1 data set.

arXiv comment11 pages, 1 table, 7 figures

References in corpus (1)

• Cosmographic transition redshift in $f(R)$ gravity

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• Holographic dark energy in Gauss-Bonnet gravity with Granda-Oliveros cut-off
• $f(T)$ cosmology: From Pseudo-Bang to Pseudo-Rip