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

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

2011-10-06

arxiv.org/abs/1110.1191v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

31 pages, 3 figures, References added, conclusions unchanged

Scientific paper

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 M\'esz\'aros effect.

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