Growth factor in f(T) gravity

Abstract

We derive the evolution equation of growth factor for the matter over-dense perturbation in $f(T)$ gravity. For instance, we investigate its behavior in power law model at small redshift and compare it to the prediction of $\Lambda$CDM and dark energy with the same equation of state in the framework of Einstein general relativity. We find that the perturbation in $f(T)$ gravity grows slower than that in Einstein general relativity if $\p f/\p T>0$ due to the effectively weakened gravity.

15 pages,1 figure; v2,typos corrected; v3, discussions added, accepted by JCAP

References in corpus (15)

• Dark torsion as the cosmic speed-up
• Modified teleparallel gravity: inflation without inflaton
• Einstein's Other Gravity and the Acceleration of the Universe
• On Born-Infeld Gravity in Weitzenbock spacetime
• Cosmological perturbations in f(T) gravity
• Observational constraints on $f(T)$ theory
• f(T) gravity mimicking dynamical dark energy. Background and perturbation analysis
• Matter density perturbations and effective gravitational constant in modified gravity models of dark energy
• $f(T)$ models with phantom divide line crossing
• Observational information for f(T) theories and Dark Torsion
• Cosmological evolution in exponential gravity
• Pure kinetic k-essence as the cosmic speed-up
• Can Gravity Probe B usefully constrain torsion gravity theories?
• Comment on "Einstein's Other Gravity and the Acceleration of the Universe''
• Accelerating cosmology in F(T) gravity with scalar field

Cited by in corpus (3)

• Generalizations of teleparallel gravity and local Lorentz symmetry
• Degrees of freedom of $f(T)$ gravity
• Static Solutions with Spherical Symmetry in f(T) Theories