Cosmography in f(T)-gravity

By Salvatore Capozziello, Vincenzo F. Cardone, H. Farajollahi, A. Ravanpak. 2011

263 citations recorded by the source corpus.

Being based on the only assumption that the universe is homogenous and isotropic on large scales, cosmography is an ideal tool to investigate the cosmic expansion history in a almost model-independent way. Fitting the data on the luminosity distance and Baryon Acoustic Oscillations allows to determine the confidence ranges for the cosmographic parameters hence giving some quantitative constraints that a whatever theory has to fulfill. As an application, we consider here the case of teleparallel gravity (TEGR) also referred to as f(T)-gravity. To this end, we first work out analytical expressions to express the present day values of f(T)-derivatives as a function of the cosmographic parameters which hold under quite general and physically motivated conditions. We then use the constraints coming from cosmography to find out the confidence ranges for f(T)-derivatives up to the fifth order and show how these can be used to check the viability of given TEGR models without the need to explicitly solve the second order dynamic equations.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/83766470088dbc585d765bd0e71d7eef1ce7c43b

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

In Nuclear and High Energy Physics

Citations in the corpus

f(T) teleparallel gravity and cosmology (2015, methodology): “For instance, from the third order fit one obtains (median and 68% and 95% CL) [495]:”
Bouncing cosmology in f(Q) symmetric teleparallel gravity (2020, unknown): “[41, 53–56].”
Solar system constraints on f(T) gravity (2012, unknown): “…(2011), Cai et al. (2011), Chattopadhyay & Debnath (2011), Sharif & Rani (2011), Wei et al. (2011a), Ferraro & Fiorini (2011a), Wei et al. (2011b), Capozziello et al. (2011), Wu & Yu (2011b), Bamba & Geng (2011), Geng et al. (2011), Wei (2012), Geng et al (2012), Wu & Geng (2011), Bohmer et al.…”
Generalized second law of thermodynamics in f(T) gravity (2012, methodology): “Now we compare the above results with the model-independent constraints on the fi values given in table II in [37].”
Teleparallel theories of gravity: illuminating a fully invariant approach (2018, unknown): “[56] S.”