Physical Interpretation and Viability of Various Metric Nonlinear Gravity Theories

Physics

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Scientific paper

We discuss physical foundations of metric gravity theories considered as gravitational alternatives to dark energy models in cosmology. We investigate a generic metric nonlinear gravity (NLG) theory with a Lagrangian L = f(gμν, Rμναβ) being any scalar function of C2 class. A popular idea underlying the use of NLG theories to account for the accelerating universe is following. Let L = R + a/R + bR2 and Robertson-Walker (RW) spacetime. In the early universe, when the curvature was large, the R2 term was dominant generating some kind of inflation, for most time of the galactic era the scalar R had intermediate values so that the linear term in L was leading preserving all the successes of the standard cosmology while at present R is small and the R-1 term is dominant giving hopefully rise to the accelerated expansion. This argument is misleading for three reasons...

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