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Covariant gauge-invariant perturbations in multifluid f (R) gravity

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2012-07-07
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Institute of Physics
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We study the evolution of scalar cosmological perturbations in the 1 + 3 covariant gauge-invariant formalism for generic f(R) theories of gravity. Extending previous works, we give a complete set of equations describing the evolution of matter and curvature fluctuations for a multi-fluid cosmological medium. We then specialize to a radiation-dust fluid described by barotropic equations of state and solve the perturbation equations around a background solution of R^n gravity. In particular, we study exact solutions for scales much smaller and much larger than the Hubble radius and show that n > 2/3 in order to have a growth rate compatible with the Mészáros effect.
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© 2012 IOP Publishing Ltd. The authors thank the National Research Foundation (NRF, SouthAfrica) for financial support. AdlCD also acknowledges financial support from MICINN (Spain) project numbers FPA 2008-00592, FIS 2011-23000 and Consolider-Ingenio MULTIDARK CSD2009-00064.
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