Noether symmetry approach in pure gravity with variable G and Lambda

Details Noether symmetry approach in pure gravity with variable G and Lambda Noether symmetry approach in pure gravity with variable G and Lambda

2006-10-03

arxiv.org/abs/gr-qc/0610012v2

Class.Quant.Grav.24:1443-1455,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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

Scientific paper

10.1088/0264-9381/24/6/005

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.

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