Brane-world and loop cosmology from a gravity-matter coupling perspective

Abstract

We show that the effective brane-world and the loop quantum cosmology background expansion histories can be reproduced from a modified gravity perspective in terms of an $f(R)$ gravity action plus a $g(R)$ term non-minimally coupled with the matter Lagrangian. The reconstruction algorithm that we provide depends on a free function of the matter density that must be specified in each case and allows to obtain analytical solutions always. In the simplest cases, the function $f(R)$ is quadratic in the Ricci scalar, $R$, whereas $g(R)$ is linear. Our approach is compared with recent results in the literature. We show that working in the Palatini formalism there is no need to impose any constraint that keeps the equations second-order, which is a key requirement for the successful implementation of the reconstruction algorithm.

8 pages, revtex4-1 style

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Cited by in corpus (20)

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• Generalized curvature-matter couplings in modified gravity
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• Cosmography in $f(Q)$ gravity
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• Cosmic acceleration with bulk viscosity in modified $f(Q)$ gravity
• Nonsingular Black Holes in $f(R)$ Theories
• Metric-affine f(R,T) theories of gravity and their applications
• Unveiling the Dynamics of the Universe
• Polytropic stars in Palatini gravity
• Tensor perturbations in a general class of Palatini theories
• Loop Quantum Cosmology Matter Bounce Reconstruction from $F(R)$ Gravity Using an Auxiliary Field
• Current density and conductivity through modified gravity in the graphene with defects
• Effective $f(R)$ actions for modified Loop Quantum Cosmologies via order reduction
• Energy-momentum squared symmetric Teleparallel gravity: $f(Q,T_{\mu \nu }{T}^{\mu \nu })$ gravity
• Black Hole Solutions in Non-Minimally Coupled Weyl Connection Gravity
• Hybrid branes from split kinks
• On Scalar Cosmological Perturbations in Non-Minimally Coupled Weyl Connection Gravity
• Weak Field Limit of the Nonminimally Coupled Weyl Connection Gravity
• Bayesian and Machine-Learning Analyses of Nonminimal $f(Q)$ Gravity and $H_0$ Tension