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Department of Mathematics and Applied Mathematics

Covariant perturbations in f (R) - gravity of multi-component fluid cosmologies

Abstract

dc:description.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.

Degree

thesis:*
Grantor dc:publisher.institution
Department of Mathematics and Applied Mathematics
Year dc:date.issued
2009

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Gidelew, Amare Abebe
Advisor dc:contributor.advisor
  • Dunsby, Peter K S

Rights

Language dc:language.iso
eng

Identifiers

dc:identifier.*
Handle dc:identifier.uri
http://hdl.handle.net/11427/4884
OAI identifier oai:identifier
oai:open.uct.ac.za:11427/4884

Chain of custody

source
Harvested from
University of Cape Town
Base URL
open.uct.ac.za/oai/request
Last updated
2026-07-22
Source record
OAI-PMH GetRecord
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citation

Gidelew, Amare Abebe. Covariant perturbations in f (R) - gravity of multi-component fluid cosmologies. Department of Mathematics and Applied Mathematics, 2009. http://hdl.handle.net/11427/4884