Dynamics of scalar perturbations in f(R,T) gravity

Abstract

In the context of f(R,T) theories of gravity, we study the evolution of scalar cosmological perturbations in the metric formalism. According to restrictions on the background evolution, a specific model within these theories is assumed in order to guarantee the standard continuity equation. Using a completely general procedure, we find the complete set of differential equations for the matter density perturbations. In the case of sub-Hubble modes, the density contrast evolution reduces to a second-order equation. We show that for well-motivated f(R,T) Lagrangians the quasistatic approximation yields to very different results from the ones derived in the frame of the concordance ΛCDM model constraining severely the viability of such theories.

11 pages, 3 figures, revtex4 format, minor changes to match version as published version, published version in PRD

References in corpus (18)

• Dynamics of dark energy
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• f(R,T) gravity
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Extended Theories of Gravity and their Cosmological and Astrophysical Applications
• Reconstructing Dark Energy
• The Large Scale Structure of f(R) Gravity
• Observational signatures of f(R) dark energy models that satisfy cosmological and local gravity constraints
• Matter density perturbations and effective gravitational constant in modified gravity models of dark energy
• The evolution of density perturbations in f(R) gravity
• On the evolution of density perturbations in f(R) theories of gravity
• Violation of First Law of Thermodynamics in f(R,T) Gravity
• The dispersion of growth of matter perturbations in f(R) gravity
• Density perturbations in f(R) gravity theories in metric and Palatini formalisms
• Cosmic history of viable exponential gravity: Equation of state oscillations and growth index from inflation to dark energy era
• Practical solutions for perturbed f(R) gravity
• Dark Energy: Beyond General Relativity?
• The coincidence problem in $f(R)$ gravity models

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