Cosmological perturbations in generalized gravity theories: solutions.

Mathematics – Logic

Scientific paper

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Early Universe: Density Perturbations, Cosmology: Gravitation Theory

Scientific paper

The author has derived second-order differential equations for cosmological perturbations, using gauge-invariant variables in a Friedmann - Lemaître - Robertson - Walker background, for each of the following gravity theories: f(R) gravity; generalized scalar-tensor gravity; gravity with nonminimally coupled scalar field; and induced gravity. Assuming a spatially flat background, each equation is put into a form suggested by Mukhanov, and asymptotic solutions are derived for the large- and small-scale limits.

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