Cosmological perturbations in f(T) gravity

By Shih-Hung Chen, J. Dent, S. Dutta, Emmanuel N. Saridakis. 2010

382 citations recorded by the source corpus.

We investigate the cosmological perturbations in f(T) gravity. Examining the pure gravitational perturbations in the scalar sector using a diagonal vierbein, we extract the corresponding dispersion relation, which provides a constraint on the f(T) Ansaetze that lead to a theory free of instabilities. Additionally, upon inclusion of the matter perturbations, we derive the fully perturbed equations of motion, and we study the growth of matter overdensities. We show that f(T) gravity with f(T) constant coincides with General Relativity, both at the background as well as at the first-order perturbation level. Applying our formalism to the power-law model we find that on large subhorizon scales (O(100 Mpc) or larger), the evolution of matter overdensity will differ from {Lambda}CDM cosmology. Finally, examining the linear perturbations of the vector and tensor sectors, we find that (for the standard choice of vierbein) f(T) gravity is free of massive gravitons.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/020bee0d3d776643e6999589c08853633d4b2420

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Citations in the corpus

Modified Gravity and Cosmology (2011, background): “A large number of papers have followed [135] in a short space of time, exploring the transition from deceleration to acceleration, observational constraints, conformal transformations, and structure formation [815, 1287, 932, 1288, 1227, 289, 134, 1286, 78, 933, 681, 1293, 1308, 79].”
f(T,𝒯) gravity and cosmology (2014, background): “However, we mention that since the simple f(T ) gravity is free of instabilities for a large class of f(T ) ansatzes [20, 21], we deduce that at least for f(T, T ) models that are small deviations from the corresponding f(T ) ones, the stability requirements μ2 ≥ 0 and c(2)s ≥ 0 are expected to be s”
Phase-space analysis of teleparallel dark energy (2012, background): “cenario. Finally, one should also investigate in detail whether the scenario at hand is stable at the perturbation level, especially in the region wDE <−1. Such an analysis can be heavily based on [39] and one can ﬁnd that f(T) cosmology and teleparallel dark energy are stable even in the region ”
Structure formation in f(T) gravity and a solution for H0 tension (2018, methodology): “The evolution of the matter density perturbations in modified teleparallel gravity theories has also been investigated in [61, 62].”
Solar system constraints on f(T) gravity (2012, background): “…& Fiorini (2007), Ferraro & Fiorini (2008), Bengochea & Ferraro (2009), Linder (2010), Myrzakulov (2011), Yerzhanov et al (2010), Wu & Yu (2010a), Chen et al. (2011), Wu & Yu (2011a), Bamba et al. (2010), Dent et al. (2011), Zheng & Huang (2011), Bamba et al. (2011), Yang (2011), Zhang et al.…”