Covariant perturbations in f (R) - gravity of multi-component fluid cosmologies
Master Thesis
2009
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University of Cape Town
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Abstract
We study the evolution of scalar cosmological perturbations in the 1+3 Covariant Gauge-Invariant formalism for generic f(R) theories of gravity. Working in the energy frame of the total matter, we give a complete set 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. We apply the perturbation equations around a background solution of Rⁿ gravity and look at exact solutions for scales much smaller and much larger than the Hubble radius.
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Includes abstract.
Includes bibliographical references (leaves 82-84).
Reference:
Gidelew, A. 2009. Covariant perturbations in f (R) - gravity of multi-component fluid cosmologies. University of Cape Town.