Irrotational-fluid cosmologies in fourth-order gravity

Abstract

In this paper, we explore classes of irrotational-fluid cosmological models in the context of f(R)-gravity in an attempt to put some theoretical and mathematical restrictions on the form of the f(R) gravitational Lagrangian. In particular, we investigate the consistency of linearised dust models for shear-free cases as well as in the limiting cases when either the gravito-magnetic or gravito-elecric components of the Weyl tensor vanish. We also discuss the existence and consistency of classes of non-expanding irrotational spacetimes in f(R)-gravity.

17 pages, no figures, more comments and references added; matches published version

References in corpus (16)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Modified f(R) gravity consistent with realistic cosmology: from matter dominated epoch to dark energy universe
• Are f(R) dark energy models cosmologically viable ?
• The Large Scale Structure of f(R) Gravity
• Metric-affine f(R) theories of gravity
• Dark energy and dark matter as curvature effects
• The evolution of density perturbations in f(R) gravity
• On the evolution of density perturbations in f(R) theories of gravity
• Some remarks on the dynamical systems approach to fourth order gravity
• Power-law cosmic expansion in f(R) gravity models
• f(R) gravity: successes and challenges
• Curvature Inspired Cosmological Scenario
• Breaking the cosmological background degeneracy by two-fluid perturbations in f(R) gravity
• Anti-Newtonian cosmologies in f(R) gravity
• Purely radiative irrotational dust spacetimes
• Anti-Newtonian universes do not exist

Cited by in corpus (7)

• Chaplygin-gas Solutions of f(R) Gravity
• Reconstructing f(R) Gravity from a Chaplygin Scalar Field in de Sitter Spacetimes
• Carrollian limit of quadratic gravity
• Shear-free Anisotropic Cosmological Models in f(R) Gravity
• On 1 + 3 covariant perturbations of the quasi-Newtonian space-time in modified Gauss-Bonnet gravity
• Perturbations of quasi-Newtonian universes in scalar-tensor gravity
• Covariant density and velocity perturbations of the quasi-Newtonian cosmological model in $f(T)$ gravity