On Shear-free perturbations of f(R) gravity

Details On Shear-free perturbations of f(R) gravity On Shear-free perturbations of f(R) gravity

2011-08-14

arxiv.org/abs/1108.2900v2

Phys. Rev. D 84, 124027 (2011)

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pages, published version, no conclusions changed

Scientific paper

10.1103/PhysRevD.84.124027

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.

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