Anti-Newtonian cosmologies in f(R) gravity

Abstract

In this paper, we investigate a class of perfect-fluid "anti-Newtonian" cosmological models in the context of f(R) gravity. In particular, we study the integrability conditions of such gravity models using covariant consistency analysis formalisms. We show that, unlike the results in General Relativity, anti-Newtonian cosmologies are not silent models and that they can exist subject to the solution of an integrability condition equation we derive. We also present the set of evolution equations governing the linear perturbations of matter, expansion and Ricci scalar for this class of models.

14 pages, no figures, published version

References in corpus (5)

• 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
• Metric-affine f(R) theories of gravity
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• Carrollian limit of quadratic gravity
• Shear-free Anisotropic Cosmological Models in f(R) Gravity
• On the Hyperbolicity and Stability of $3+1$ Formulations of Metric $f(R)$ Gravity
• Irrotational-fluid cosmologies in fourth-order gravity
• Integrability conditions of quasi-Newtonian cosmologies in modified gravity