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

Autor:	Bonanno, Alfio, Esposito, Giampiero, Rubano, Claudio, Scudellaro, Paolo
Rok vydání:	2007
Předmět:	General Relativity and Quantum Cosmology
Zdroj:	Int.J.Geom.Meth.Mod.Phys.5:329-337,2008
Druh dokumentu:	Working Paper
DOI:	10.1142/S0219887808002801
Popis:	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. Comment: 10 pages, Revtex4
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0708.0525 Zobrazit plný text záznamu View this record from Arxiv