On Shear-free perturbations of f(R) gravity
General Relativity and Quantum Cosmology
2015-03-19 v2
Abstract
Recently it was shown that if the matter congruence of a general relativistic perfect fluid flow in an almost FLRW universe is shear-free, then it must be either expansion or rotation-free. Here we generalize this result for a general f(R) theory of gravity and show there exist scenarios where this result can be avoided. This suggests that there are situations where linearized forth-order gravity shares properties with Newtonian theory not valid in General Relativity.
Keywords
Cite
@article{arxiv.1108.2900,
title = {On Shear-free perturbations of f(R) gravity},
author = {Amare Abebe and Rituparno Goswami and Peter K. S. Dunsby},
journal= {arXiv preprint arXiv:1108.2900},
year = {2015}
}
Comments
6 pages, published version, no conclusions changed