Noether symmetry in $f(R)$ cosmology

Details Noether symmetry in $f(R)$ cosmology Noether symmetry in $f(R)$ cosmology

2008-04-22

arxiv.org/abs/0804.3449v2

Phys.Lett.B664:16-20,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages,no figures,typos corrected,references added, to appear in PLB

Scientific paper

10.1016/j.physletb.2008.05.008

The Noether symmetry of a generic $f(R)$ cosmological model is investigated by utilizing the behavior of the corresponding Lagrangian under the infinitesimal generators of the desired symmetry. We explicitly calculate the form of $f(R)$ for which such symmetries exist. It is shown that the resulting form of $f(R)$ yields a power law expansion for the cosmological scale factor. We also obtain the effective equation of state parameter for the corresponding cosmology and show that our model can provide a gravitational alternative to the quintessence.

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