Matter Density Perturbations in Modified Teleparallel Theories

Abstract

We study the matter density perturbations in modified teleparallel gravity theories, where extra degrees of freedom arise from the local Lorentz violation in the tangent space. We formulate a vierbein perturbation with variables addressing all the 16 components of the vierbein field. By assuming the perfect fluid matter source, we examine the cosmological implication of the 6 unfamiliar new degrees of freedom in modified $f(T)$ gravity theories. We find that despite the new modes in the vierbein scenario provide no explicit significant effect in the small-scale regime, they exhibit some deviation from the standard general relativity results in super-horizon scales.

18 pages, 1 figure, accepted by JHEP

References in corpus (25)

• Observational constraints on $f(T)$ theory
• "Teleparallel" Dark Energy
• f(T) gravity mimicking dynamical dark energy. Background and perturbation analysis
• $f(T)$ models with phantom divide line crossing
• Degrees of freedom of $f(T)$ gravity
• Growth factor in f(T) gravity
• Phase-Space analysis of Teleparallel Dark Energy
• Existence of relativistic stars in f(T) gravity
• Observational information for f(T) theories and Dark Torsion
• Conformal transformation in $f(T)$ theories
• Thermodynamics of cosmological horizons in $f(T)$ gravity
• Generalized second law of thermodynamics in f(T) gravity
• Static Anisotropic Solutions in f(T) Theory
• Observational Constraints on Teleparallel Dark Energy
• Noether Symmetry in $f(T)$ Theory
• Dynamics of Teleparallel Dark Energy
• $f(T)$ cosmology via Noether symmetry
• Circularly symmetric solutions in three-dimensional Teleparallel, f(T) and Maxwell-f(T) gravity
• The stability of the Einstein static state in $f(T)$ gravity
• Emergent universe in chameleon, f(R) and f(T) gravity theories
• Constraining $f(T)$ Theories with the Varying Gravitational Constant
• Matter stability in modified teleparallel gravity
• Gödel-type universes in f(T) gravity
• The growth of matter perturbations in the f(T) gravity
• Birkhoff's Theorem in f(T) Gravity up to the Perturbative Order

Cited by in corpus (39)

• f(T) teleparallel gravity and cosmology
• Teleparallel Gravity: From Theory to Cosmology
• Viable f(T) models are practically indistinguishable from LCDM
• Conformal symmetry and accelerating cosmology in teleparallel gravity
• Structure formation in $f(T)$ gravity and a solution for $H_0$ tension
• New Schwarzschild-like solutions in f(T) gravity through Noether symmetries
• Noether symmetries and analytical solutions in f(T)-cosmology: A complete study
• Cosmological applications of $F(T,T_G)$ gravity
• Cosmological perturbations in modified teleparallel gravity models
• $f(T)$ gravity after GW170817 and GRB170817A
• Trace-anomaly driven inflation in $f(T)$ gravity and in minimal massive bigravity
• Dynamical features of scalar-torsion theories
• New observational constraints on $f(T)$ gravity through gravitational-wave astronomy
• Remnant group of local Lorentz transformations in f(T) theories
• Dynamical Stability Analysis of Accelerating f(T) Gravity Models
• The effective field theory approach of teleparallel gravity, $f(T)$ gravity and beyond
• Effective gravitational coupling in modified teleparallel theories
• Linear growth in power law $f(T)$ gravity
• Matter Bounce Scenario in Extended Symmetric Teleparallel Gravity
• Detectability of Torsion Gravity via Galaxy Clustering and Cosmic Shear Measurements
• Geodesic Deviation Equation in $f(T)$ gravity
• New test on general relativity and $f(T)$ torsional gravity from galaxy-galaxy weak lensing surveys
• Energy Constraints and Phenomenon of Cosmic Evolution in $f(T,B)$ Framework
• Density Perturbation Growth in Teleparallel Cosmology
• Testing the violation of the equivalence principle in the electromagnetic sector and its consequences in $f(T)$ gravity
• Exploring late-time cosmic acceleration: A study of a linear $f(T)$ cosmological model using observational data
• General cosmological perturbations in teleparallel gravity
• New cosmological constraints on $f(T)$ gravity in light of full Planck-CMB and type Ia supernovae data
• Growth of matter overdensities in non-minimal torsion-matter coupling theories
• Spherical collapse model and cluster number counts in power law $f(T)$ gravity
• Ghost and Laplacian Instabilities in the Teleparallel Horndeski Gravity
• Updating constraints on phantom crossing $f(T)$ gravity
• Bianchi I cosmological solutions in teleparallel gravity
• Cosmological perturbations in gravitational energy-momentum complex
• Spin connection and cosmological perturbations in $f(T)$ gravity
• Teleparallel Gravity in Five Dimensional Theories
• Spin connection and cosmological perturbations in scalar-torsion gravity
• Gauge invariant perturbations of $F(T,T_G)$ Cosmology
• Tensor stability in Born-Infeld determinantal gravity