Noether gauge symmetry for $f(R)$ gravity in Palatini formalism
General Relativity and Quantum Cosmology
2012-02-02 v2 Mathematical Physics
math.MP
Abstract
In this study, we consider a flat Friedmann-Robertson-Walker (FRW) universe in the context of Palatini theory of gravity. Using the dynamical equivalence between gravity and scalar-tensor theories, we construct a point Lagrangian in the flat FRW spacetime. Applying {\em Noether gauge symmetry approach} for this Lagrangian we find out the form of and the exact solution for cosmic scale factor. It is shown that the resulting form of yield a power-law expansion for the scale factor of the universe.
Keywords
Cite
@article{arxiv.1111.5336,
title = {Noether gauge symmetry for $f(R)$ gravity in Palatini formalism},
author = {Y. Kucukakca and U. Camci},
journal= {arXiv preprint arXiv:1111.5336},
year = {2012}
}
Comments
7 pagese, no figures; Published in Astrophysics & Space Science. Some minor corrections have been made