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

References in corpus (2)

• Renormalization group improved gravitational actions: a Brans-Dicke approach
• Noether symmetry approach in matter-dominated cosmology with variable G and Lambda

Cited by in corpus (6)

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• The role of Background Independence for Asymptotic Safety in Quantum Einstein Gravity
• Noether symmetry approach in matter-dominated cosmology with variable G and Lambda
• Noether symmetry approach to scalar-field-dominated cosmology with dynamically evolving G and Lambda