Why Noether symmetry of F(R) theory yields three-half power law?

Details Why Noether symmetry of F(R) theory yields three-half power law? Why Noether symmetry of F(R) theory yields three-half power law?

2012-01-14

arxiv.org/abs/1201.2987v1

Astronomy and Astrophysics

Astrophysics

Cosmology and Extragalactic Astrophysics

14 pages, 5 figures

Scientific paper

Noether symmetry of F(R) theory of gravity reveals F(R) = R^{3/2}, if the expression for the scalar curvature for R-W metric is treated as a constraint and entered into the action through a Lagrange multiplier. In the process, a cyclic coordinate is found which gives a solution that appears to explain the present cosmological evolution. The interesting issue is that out of infinite curvature invariant terms, Noether symmetry selects only R^{3/2}. Here, we explore the very speciality and study the attractive features and shortcomings of such term in the context of cosmological evolution.

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