Growth of matter overdensities in non-minimal torsion-matter coupling theories

Abstract

We study the evolution of cosmological perturbations around a homogeneous and isotropic background in the framework of the non-minimal torsion-matter coupling extension of $f(T)$ gravity. We are concerned with the effects of the non-minimal coupling term on the growth of matter overdensities. Under the quasi-static approximation, we derive the equation which governs the evolution of matter density perturbations, and it is shown that the effective gravitational coupling 'constant' acquires an additional contribution due to the non-minimal matter-torsion coupling term. In this way, this result generalizes those previously obtained for the growth of matter overdensities in the case of minimal $f(T)$ gravity. In order to get a feeling of our results we apply them to the important case of a power-law coupling function, which we assume to be the responsible for the late-time accelerated expansion in the dark energy regime. Thereby, analytic solutions for the matter density perturbation equation in the regime of dark matter dominance and the dark energy epoch are obtained, along with a complete numerical integration of this equation. In particular, we show that this model predicts a growth index larger than those obtained for $\Lambda$CDM model, indicating therefore a smaller growth rate. Concomitantly, we show that the model at hand is potentially capable in alleviating the existing ${\sigma }_8$-tension, being that it can provide us a $f{\sigma }_8$ prediction which is $\sim 4-5$ per cent below the respective prediction of concordance model.

arXiv comment13 pages, 6 figures

References in corpus (84)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Dynamics of dark energy
• f(R) Theories Of Gravity
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• f(R) theories
• Cosmological Imprint of an Energy Component with General Equation of State
• Extended Theories of Gravity
• Introduction to Modified Gravity and Gravitational Alternative for Dark Energy
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• A Dynamical Solution to the Problem of a Small Cosmological Constant and Late-time Cosmic Acceleration
• Dark Energy and the Accelerating Universe
• Essentials of k-essence
• f(T) teleparallel gravity and cosmology
• Exponential potentials and cosmological scaling solutions
• Kinetically Driven Quintessence
• Observational Probes of Cosmic Acceleration
• Rolling Tachyon
• Dark torsion as the cosmic speed-up
• Modified teleparallel gravity: inflation without inflaton
• Tachyon Matter
• Cosmology and Fundamental Physics with the Euclid Satellite
• Extra force in $f(R)$ modified theories of gravity
• Accelerated expansion of the universe driven by tachyonic matter
• Cluster Abundance Constraints on Quintessence Models
• Extended Theories of Gravity and their Cosmological and Astrophysical Applications
• Cosmic Growth History and Expansion History
• Palatini Approach to Modified Gravity: f(R) Theories and Beyond
• f(R,L_m) gravity
• Quintessence arising from exponential potentials
• f(T) Gravity and local Lorentz invariance
• Quintessence as a run-away dilaton
• Cosmological perturbations in f(T) gravity
• Dark Energy Dominance and Cosmic Acceleration in First Order Formalism
• The covariant formulation of f(T) gravity
• Dilatonic ghost condensate as dark energy
• Gravity assisted dark energy dominance and cosmic acceleration
• f(T) gravity mimicking dynamical dark energy. Background and perturbation analysis
• Cosmography in f(T)-gravity
• Modified gravity with arbitrary coupling between matter and geometry
• $f(T,\mathcal{T})$ gravity and cosmology
• Torsion Gravity: a Reappraisal
• Solar system constraints on f(T) gravity
• What is needed of a tachyon if it is to be the dark energy?
• Large-scale Structure in f(T) Gravity
• Evolution of the $f{\sigma }_8$ tension with the Planck15/$\Lambda$CDM determination and implications for modified gravity theories
• The dynamical behavior of $f(T)$ theory
• Gravitational Energy-Momentum Density in Teleparallel Gravity
• Existence of relativistic stars in f(T) gravity
• Growth factor in f(T) gravity
• Observational information for f(T) theories and Dark Torsion
• Testing LCDM with the Growth Function δ(a): Current Constraints
• Cosmological dynamics of the tachyon with an inverse power-law potential
• Nonminimal torsion-matter coupling extension of f(T) gravity
• Viable f(T) models are practically indistinguishable from LCDM
• Modified gravity with R-matter couplings and (non-)geodesic motion
• Static Solutions with Spherical Symmetry in f(T) Theories
• The $H_0$ tension in light of vacuum dynamics in the Universe
• Accelerated expansion from a non-minimal gravitational coupling to matter
• Energy conditions bounds on f(T) gravity
• $f(T)$ gravity after GW170817 and GRB170817A
• New observational constraints on f(T) gravity from cosmic chronometers
• Cosmological Perturbation in f(T) Gravity Revisited
• $f(T)$ Theories and Varying Fine Structure Constant
• Weak-Field Spherically Symmetric Solutions in $f(T)$ gravity
• Density perturbations for running vacuum: a successful approach to structure formation and to the ${\sigma }_8$-tension
• Solar System tests in $f(T)$ gravity
• Mimicking dark matter through a non-minimal gravitational coupling with matter
• $f(T)$ gravitational baryogenesis
• Cosmological perturbations in theories with non-minimal coupling between curvature and matter
• A parametrization of the growth index of matter perturbations in various Dark Energy models and observational prospects using a Euclid-like survey
• Constraining f(T) gravity in the Solar System
• Effective gravitational coupling in modified teleparallel theories
• Dynamical system analysis for nonminimal torsion-matter coupled gravity
• Linear growth in power law $f(T)$ gravity
• Vacuum spherically symmetric solutions in $f(T)$ gravity
• Growth factor in $f(T,\mathcal{T})$ gravity
• Matter Density Perturbations in Modified Teleparallel Theories
• Cosmological perturbations in an effective and genuinely phantom dark energy Universe
• Inflation in non-minimal matter-curvature coupling theories
• Inflation from a nonlinear magnetic monopole field nonminimally coupled to curvature
• Violation of causality in $f(T)$ gravity
• Gödel-type universes in f(T) gravity
• Testing and selection cosmological models with dark energy
• Phi Zeta Delta: Growth of Perturbations in Parameterized Gravity for an Einstein-de Sitter Universe

Cited by in corpus (20)

• Challenges for $\Lambda$CDM: An update
• Teleparallel Gravity: From Theory to Cosmology
• $H_0$ Tension, Phantom Dark Energy and Cosmological Parameter Degeneracies
• Cosmological dynamics of dark energy in scalar-torsion $f(T,\varphi )$ gravity
• Reconstructing inflation in scalar-torsion $f(T,\varphi )$ gravity
• Dynamical systems methods and statefinder diagnostic of interacting vacuum energy models
• Stability of scalar perturbations in scalar-torsion $f(T,\varphi )$ gravity theories in the presence of a matter fluid
• Generating primordial fluctuations from modified teleparallel gravity with local Lorentz-symmetry breaking
• Gravitationally Induced Particle Production through a Nonminimal Torsion-Matter Coupling
• New cosmological constraints on $f(T)$ gravity in light of full Planck-CMB and type Ia supernovae data
• Scalar induced gravitational waves in modified teleparallel gravity theories
• Modified gravity and cosmology with nonminimal (derivative) coupling between matter and the Einstein tensor
• Is gravity getting weaker at low z? Observational evidence and theoretical implications
• Einstein-Cartan-Dirac gravity with $U(1)$ symmetry breaking
• Revisiting $f(R)$ gravity's rainbow: Inflation and primordial fluctuations
• Dynamics of dark energy in a scalar-vector-torsion theory
• Phase-space analysis of torsion-coupled dilatonic ghost condensate
• Cosmological Dynamics in Interacting Scalar-Torsion f(T,$\varphi$) Gravity: Investigating Energy and Momentum Couplings
• Late Time Phenomena in $f(T,\mathcal{T})$ Gravity Framework: Role of $H_0$ Priors
• Parametrized post-Newtonian formalism in higher-order Teleparallel Gravity