Noether symmetry approach to scalar-field-dominated cosmology with dynamically evolving G and Lambda

Details Noether symmetry approach to scalar-field-dominated cosmology with dynamically evolving G and Lambda Noether symmetry approach to scalar-field-dominated cosmology with dynamically evolving G and Lambda

2007-08-03

arxiv.org/abs/0708.0525v1

Int.J.Geom.Meth.Mod.Phys.5:329-337,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, Revtex4

Scientific paper

10.1142/S0219887808002801

This paper studies the cosmological equations for a scalar field Phi in the framework of a quantum gravity modified Einstein--Hilbert Lagrangian where G and Lambda are dynamical variables. It is possible to show that there exists a Noether symmetry for the point Lagrangian describing this scheme in a FRW universe. Our main result is that the Noether Symmetry Approach fixes both Lambda = Lambda(G) and the potential V = V(Phi) of the scalar field. The method does not lead, however, to easily solvable equations, by virtue of the higher dimensionality of the reduced configuration space involved, the additional variable being the running Newton coupling.

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