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



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Abebe, Amare and Abdelwahab, Mohamed and Cruz Dombriz, Álvaro de la and Dunsby, Peter K. S. (2012) Covariant gauge-invariant perturbations in multifluid f (R) gravity. Classical and quantum gravity, 29 (13). ISSN 0264-9381

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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.

Uncontrolled Keywords:Probe wmap observations; Cosmological perturbations; Dark energy; Constant; Dynamics; Models
Subjects:Sciences > Physics
ID Code:28892
Deposited On:27 Feb 2015 19:07
Last Modified:27 Feb 2015 19:07

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