Second-order matter density perturbations and skewness in scalar-tensor modified gravity models

Details Second-order matter density perturbations and skewness in scalar-tensor modified gravity models Second-order matter density perturbations and skewness in scalar-tensor modified gravity models

2008-07-13

arxiv.org/abs/0807.2017v2

JCAP 0809:009,2008

Astronomy and Astrophysics

Astrophysics

15 pages, 1 figure, version to appear in JCAP

Scientific paper

10.1088/1475-7516/2008/09/009

We study second-order cosmological perturbations in scalar-tensor models of dark energy that satisfy local gravity constraints, including f(R) gravity. We derive equations for matter fluctuations under a sub-horizon approximation and clarify conditions under which first-order perturbations in the scalar field can be neglected relative to second-order matter and velocity perturbations. We also compute the skewness of the matter density distribution and find that the difference from the LCDM model is only less than a few percent even if the growth rate of first-order perturbations is significantly different from that in the LCDM model. This shows that the skewness provides a model-independent test for the picture of gravitational instability from Gaussian initial perturbations including scalar-tensor modified gravity models.

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