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

By Salvatore Capozziello, Orlando Luongo, Emmanuel N. Saridakis. 2015

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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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Oceanography

View Paper: https://www.semanticscholar.org/paper/4cd0e7323f6193952fbea81bcbe86eb9b5759fa0

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Citations in the corpus

Teleparallel theories of gravity: illuminating a fully invariant approach (2018, unknown): “[64] S.”
f(T) teleparallel gravity and cosmology (2015, methodology): “In this subsection we follow [495, 496] and [497] and we present how one could use cosmography in order to extract the confidence ranges for f(T ) derivatives up to the fifth order, and then we investigate the viability of given models.”