Observational Constraints on $f(T)$ Gravity from Model-Independent Data

Abstract

We establish new constraints on f (T ) gravity models by using cosmological data.In particular, we investigate the restrictions given by the gas mass fraction measurements of galaxy clusters and transversal BAO data. Both data sets are regarded as weakly dependent on a fiducial cosmology. In addition, we also include a CMB measurement of the temperature power spectrum first peak, along with H(z) values from cosmic chronometers and supernovae data from the Pantheon data set. We also perform a forecast for future constraints on the deviation of f (T ) models from the ΛCDM scenario by following the specifications of the J-PAS and Euclid surveys and find significant improvements on the constraints of the b-parameter, when compared to the results of the statistical analysis.

Teleparallel gravity: from theory to cosmology

“…Observing the form of the first Friedmann equations (6.7a), we deduce that in f (T) cosmology we acquire an effective DE sector of gravitational origin. In particular, we can define the effective DE density as [45,817]…”

“…(6.7a), we deduce that in f (T ) cosmology we acquire an effective DE sector of gravitational origin. In particular, we can define the effective DE density as [45,818] [824] are adopted, while the H(z) data consists of 38 data points from Ref. [825] and the SNeIa data corresponds to the SNLS-SDSS JLA [800].…”

Cosmology Intertwined: A Review of the Particle Physics, Astrophysics, and Cosmology Associated with the Cosmological Tensions and Anomalies

“…[432][433][434][435][436] for details and Refs. [437][438][439][440][441][442][443][444][445][446][447][448][449] for cosmological analysis results using this type of measurements). Although the latter would theoretically be more suitable for alternative gravity model analyses, since it does not use a fiducial model, the associated errors of these BAO angular correlation measurement are an order of magnitude larger than those of 2PCF.…”

Gaussian Processes and Effective Field Theory of f(T) Gravity under the H 0 Tension

“…Alternatively, if we start from the teleparallel equivalent of general relativity (De Andrade et al 2000;Unzicker & Case 2005;Aldrovandi & Pereira 2013;Krssak et al 2019), we will obtain a family of torsion-based modified gravity (Cai et al 2016b;Krššák & Saridakis 2016). These torsional gravities provide new possible mechanisms for cosmological observations, such as inflation and accelerated expansion, and are highly considered and widely studied (Cai et al 2011;Capozziello et al 2011;Chen et al 2011;Bahamonde et al 2015Bahamonde et al , 2019Bahamonde et al , 2020Bahamonde et al , 2022Hohmann et al 2017;Golovnev & Koivisto 2018;Xu et al 2018;Ren et al 2021b;Bahamonde et al 2021;Jiménez et al 2021;Santos et al 2021Santos et al , 2021Duchaniya et al 2022;Li & Zhao 2022;. It is worth noting that these modifications are efficient under confrontation with galaxyscale observations too (Chen et al 2020;Pfeifer & Schuster 2021).…”