Noether symmetry in $f(R)$ cosmology

Abstract

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.

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

References in corpus (3)

• Spherically symmetric solutions in f(R)-gravity via Noether Symmetry Approach
• The phase space view of f(R) gravity
• Bianchi spacetimes in noncommutative phase-space

Cited by in corpus (1)

• Noether symmetry for non-minimally coupled fermion fields