Cosmic acceleration and $f(R)$ theory: perturbed solution in a matter FLRW model

Abstract

In the present paper we consider $f(R)$ gravity theories in the metric approach and we derive the equations of motion, focusing also on the boundary conditions. In such a way we apply the general equations to a first order perturbation expansion of the Lagrangian. We present a model able to fit supernovae data without introducing dark energy.

10 pages, 1 figure

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• Late-time cosmological evolution of a general class of f(R, T) gravity with minimal curvature-matter coupling
• What is needed of a scalar field if it is to unify inflation and late time acceleration ?
• Linearized propagation equations for metric fluctuations in a general (non-vacuum) background geometry
• Comparing the luminosity distance for gravitational waves and electromagnetic signals in a simple model of quadratic gravity