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Aspects of cosmological expansion in F(R) gravity models | | S. A. Appleby
; R. A. Battye
; | | Date: |
7 Mar 2008 | | Abstract: | We study cosmological expansion in F(R) gravity using the trace of the field
equations. High frequency oscillations in the Ricci scalar, whose amplitude
increase as one evolves backward in time, have been predicted in recent works.
We show that the approxmiations used to derive this result very quickly
breakdown in any realistic model due to the non-linear nature of the underlying
problem. Using a combination of numerical and semi-analytic techniques, we
study a range of models which are otherwise devoid of known pathogolies. We
find that high frequency asymmetric oscillations and a singularity at finite
time appear to be present for a wide range of initial conditions. We show that
this singularity can be avoided with a certain range of initial conditions,
which we find by evolving the models forwards in time. In addition we show that
the oscillations in the Ricci scalar are highly suppressed in the Hubble
parameter and scale factor. | | Source: | arXiv, 0803.1081 | | Services: | Forum | Review | PDF | Favorites | |
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