Kaushik Sarkar, Nayem Sk., Soumendranath Ruz, Subhra Debnath, Abhik Kumar Sanyal
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.
View original:
http://arxiv.org/abs/1201.2987
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