Noether Gauge Symmetry Approach in f(R) Gravity

Abstract

We discuss the f(R) gravity model in which the origin of dark energy is identified as a modification of gravity. The Noether symmetry with gauge term is investigated for the f(R) cosmological model. By utilization of the Noether Gauge Symmetry (NGS) approach, we obtain two exact forms f(R) for which such symmetries exist. Further it is shown that these forms of f(R) are stable.

6 pages, accepted by Astrophys. Sp. Sci

References in corpus (10)

• Dynamics of dark energy
• Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion
• Spherically symmetric solutions in f(R)-gravity via Noether Symmetry Approach
• Modified gravity models of dark energy
• The phase space view of f(R) gravity
• Noether symmetry in $f(R)$ cosmology
• Statefinder diagnostic and stability of modified gravity consistent with holographic and new agegraphic dark energy
• Stability of f(R) black holes
• Scalar-tensor cosmology with R^{-1} curvature correction by Noether Symmetry
• Exact $f(R)$-cosmological model coming from the request of the existence of a Noether symmetry

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