Noether symmetry approach to scalar-field-dominated cosmology with dynamically evolving G and Lambda
General Relativity and Quantum Cosmology
2008-11-26 v1
Abstract
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.
Keywords
Cite
@article{arxiv.0708.0525,
title = {Noether symmetry approach to scalar-field-dominated cosmology with dynamically evolving G and Lambda},
author = {Alfio Bonanno and Giampiero Esposito and Claudio Rubano and Paolo Scudellaro},
journal= {arXiv preprint arXiv:0708.0525},
year = {2008}
}
Comments
10 pages, Revtex4