Noether Symmetry of Palatini $F(\Re)$ gravity
Abstract
In metric formalism, Noether symmetry of F(R) theory of gravity in vacuum and in the presence of pressureless dust yields along with the conserved current in Robertson-Walker metric and nothing else. However, Roshan et.al. had claimed in \cite{o} that Noether symmetry in the context of Palatini theory of gravity admits , (where is an arbitrary constant) in matter domain era in Friedmann- Robertson-Walker universe. But, it has been shown that the conserved current obtained under the process does not satisfy the field equations in general. Here, it is shown that Noether Symmetry admits along with a conserved current in Palatini gravity. Thus, their claim is not right.
Cite
@article{arxiv.1610.07445,
title = {Noether Symmetry of Palatini $F(\Re)$ gravity},
author = {Nayem Sk},
journal= {arXiv preprint arXiv:1610.07445},
year = {2017}
}
Comments
5 pages, Appear in International Journal of Geometric Methods in Modern Physics (IJGMMP)