http://arxiv.org/abs/1907.07533
We use observational data from Supernovae (SNIa) Pantheon sample, from direct Hubble constant measurements with cosmic chronometers (CC), and from redshift space distortion ($f\sigma_8$) measurements, in order to constrain $f(T)$ gravity. We do not follow the common $\gamma$ parameterization within the semi-analytical approximation of the growth rate, in order to avoid model-dependent uncertainties. Up to our knowledge this is the first time that $f(T)$ gravity is analyzed within a Bayesian framework, and with background and perturbation behaviour considered jointly. We show that all three examined $f(T)$ models are able to describe adequately the $f\sigma_8$ data. Furthermore, applying the Akaike, Bayesian and Deviance Information Criteria, we conclude that all considered models are statistically equivalent, however the most efficient candidate is the exponential model, which additionally presents a small deviation from $\Lambda$CDM paradigm.
F. Anagnostopoulos, S. Basilakos and E. Saridakis
Thu, 18 Jul 19
15/64
Comments: 11 pages, 3 figures, 2 Tables
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