Noether gauge symmetry for f( R) gravity in Palatini formalism
Abstract
In this study, we consider a flat FriedmannRobertsonWalker (FRW) universe in the context of Palatini f( R) theory of gravity. Using the dynamical equivalence between f( R) gravity and scalartensor theories, we construct a point Lagrangian in the flat FRW spacetime. Applying Noether gauge symmetry approach for this f( R) Lagrangian we find out the form of f( R) and the exact solution for cosmic scale factor. It is shown that the resulting form of f( R) yield a powerlaw expansion for the scale factor of the universe.
 Publication:

Astrophysics and Space Science
 Pub Date:
 March 2012
 DOI:
 10.1007/s1050901109215
 arXiv:
 arXiv:1111.5336
 Bibcode:
 2012Ap&SS.338..211K
 Keywords:

 General Relativity and Quantum Cosmology;
 Mathematical Physics
 EPrint:
 7 pagese, no figures