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2008

Noether symmetry in $f(R)$ cosmology

Vakili, Babak

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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.

Noether symmetry in $f(R)$ cosmology · Around

Built on

E. E. Flanagan, Class. Quantum Grav
1994
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S. Capozziello and G. Lambiase, Gen. Rel. Grav
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C. L. Bennett et. al
2002
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S. Capozziello, V. I. Man’ko, G. Marmo and C. Stornaiolo, Tomographic Representation of Minisuperspace Quantum Cosmology and Noether Symmetries
2002
Earlier work this paper cites.

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