Noether symmetry approach in pure gravity with variable G and Lambda

Abstract

We find exact cosmological solutions when the Newton parameter and the cosmological term are dynamically evolving in a renormalization-group improved Hamiltonian approach. In our derivation we use the Noether symmetry approach, leading to an interesting variable transformation which yields exact and general integration of the cosmological equations. The functional dependence of Lambda on G is determined by the method itself, therefore generalizing previous results on symmetry principles in cosmology. We find new functional relations between Lambda and G, jointly with power-law inflation for pure gravity.

18 pages, 2 figures. In the final version, physical interpretation and presentation have been improved in all sections

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Cited by in corpus (18)

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• Noether Symmetry in $f(T)$ Theory
• Running Gauge Coupling in Asymptotically Safe Quantum Gravity
• Background Independence and Asymptotic Safety in Conformally Reduced Gravity
• Quantum Gravity Effects in the Kerr Spacetime
• Conformal sector of Quantum Einstein Gravity in the local potential approximation: non-Gaussian fixed point and a phase of unbroken diffeomorphism invariance
• Bare Action and Regularized Functional Integral of Asymptotically Safe Quantum Gravity
• Bianchi Type I Cosmology in Generalized Saez-Ballester Theory via Noether Gauge Symmetry
• The role of Background Independence for Asymptotic Safety in Quantum Einstein Gravity
• Scale-dependent metric and causal structures in Quantum Einstein Gravity
• Asymptotically Safe gravity and non-singular inflationary Big Bang with vacuum birth
• Noether symmetry approach in matter-dominated cosmology with variable G and Lambda
• A matter-dominated cosmological model with variable $G$ and $\Lambda$. Confrontation of theoretical predictions with observational data
• Phenomenological models of Universe with varying $G$ and $\Lambda$
• Noether symmetry approach to scalar-field-dominated cosmology with dynamically evolving G and Lambda
• Variable $G$ and $\Lambda$ gravity theory and analytical Cosmological Solutions using Noether symmetry approach
• Observational constraints on models of the Universe with time variable Gravitational and Cosmological constants along MOG
• Dynamical analysis and cosmological viability of varying $G$ and $\Lambda$ cosmology