Noether symmetry approach in matter-dominated cosmology with variable G and Lambda

Abstract

In the framework of renormalization-group improved cosmologies, we use the Noether symmetry approach to get exact and general integration of the matter-dominated cosmological equations. This is performed by using an expression of Lambda=Lambda(G) determined by the method itself. We also work out a comparison between such a model and the concordance LambdaCDM model as to the magnitude-redshift relationship, hence showing that no appreciable differences occur.

22 pages, 2 figures

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• Noether symmetric $f(R)$ quantum cosmology and its classical correlations
• Noether Symmetry Approach in multiple scalar fields Scenario
• Classical and Quantum Solutions in Brans-Dicke Cosmology with a Perfect Fluid
• Three fluid cosmological model using Lie and Noether symmetries
• Noether symmetry approach in pure gravity with variable G and Lambda
• Viability of Noether symmetry of F(R) theory of gravity
• Using Noether symmetries to specify f(R) gravity
• Noether Symmetry Approach in "Cosmic Triad" Vector Field Scenario
• A matter-dominated cosmological model with variable $G$ and $\Lambda$. Confrontation of theoretical predictions with observational data
• Noether symmetry approach to scalar-field-dominated cosmology with dynamically evolving G and Lambda