A study of solutions and perturbations of spherically symmetric spacetimes in fourth order gravity.

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dc.contributor.advisorDunsby, Peter K Sen_ZA
dc.contributor.authorNzioki, Anne Marieen_ZA
dc.date.accessioned2014-07-31T08:10:12Z
dc.date.available2014-07-31T08:10:12Z
dc.date.issued2013en_ZA
dc.descriptionIncludes abstract.
dc.descriptionIncludes bibliographical references.
dc.description.abstractIn this thesis we use the 1+1+2 covariant approach to General Relativity to study exact solutions and perturbations of rotationally symmetric spacetimes in f(R) gravity, one of the most widely studied classes of fourth order gravity. We begin by introducing f(R) theories of gravity and present the general equations for these theories. We investigate the problem of matching different regions of spacetime, shedding light on the problem of constructing realistic inhomogeneous cosmologies in the context of f(R) gravity. We also study strong lensing in these fourth order theories of gravity derive the lens mass and magnification for the gravitational lens system. We provide an extensive review of both the 1+3 and 1+1+2 covariant approaches to f(R) theories of gravity and give the full system of evolution, propagation and constraint equations of LRS spacetimes. We then determine the conditions for the existence of spherically symmetric vacuum solutions of these fourth order field equations and prove a Jebsen-Birkhoff like theorem for f(R) theories of gravity and the necessary conditions required for the existence of Schwarzschild solution in these theories.en_ZA
dc.identifier.apacitationNzioki, A. M. (2013). <i>A study of solutions and perturbations of spherically symmetric spacetimes in fourth order gravity</i>. (Thesis). University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics. Retrieved from http://hdl.handle.net/11427/4916en_ZA
dc.identifier.chicagocitationNzioki, Anne Marie. <i>"A study of solutions and perturbations of spherically symmetric spacetimes in fourth order gravity."</i> Thesis., University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 2013. http://hdl.handle.net/11427/4916en_ZA
dc.identifier.citationNzioki, A. 2013. A study of solutions and perturbations of spherically symmetric spacetimes in fourth order gravity. University of Cape Town.en_ZA
dc.identifier.ris TY - Thesis / Dissertation AU - Nzioki, Anne Marie AB - In this thesis we use the 1+1+2 covariant approach to General Relativity to study exact solutions and perturbations of rotationally symmetric spacetimes in f(R) gravity, one of the most widely studied classes of fourth order gravity. We begin by introducing f(R) theories of gravity and present the general equations for these theories. We investigate the problem of matching different regions of spacetime, shedding light on the problem of constructing realistic inhomogeneous cosmologies in the context of f(R) gravity. We also study strong lensing in these fourth order theories of gravity derive the lens mass and magnification for the gravitational lens system. We provide an extensive review of both the 1+3 and 1+1+2 covariant approaches to f(R) theories of gravity and give the full system of evolution, propagation and constraint equations of LRS spacetimes. We then determine the conditions for the existence of spherically symmetric vacuum solutions of these fourth order field equations and prove a Jebsen-Birkhoff like theorem for f(R) theories of gravity and the necessary conditions required for the existence of Schwarzschild solution in these theories. DA - 2013 DB - OpenUCT DP - University of Cape Town LK - https://open.uct.ac.za PB - University of Cape Town PY - 2013 T1 - A study of solutions and perturbations of spherically symmetric spacetimes in fourth order gravity TI - A study of solutions and perturbations of spherically symmetric spacetimes in fourth order gravity UR - http://hdl.handle.net/11427/4916 ER - en_ZA
dc.identifier.urihttp://hdl.handle.net/11427/4916
dc.identifier.vancouvercitationNzioki AM. A study of solutions and perturbations of spherically symmetric spacetimes in fourth order gravity. [Thesis]. University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 2013 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/4916en_ZA
dc.language.isoengen_ZA
dc.publisher.departmentDepartment of Mathematics and Applied Mathematicsen_ZA
dc.publisher.facultyFaculty of Scienceen_ZA
dc.publisher.institutionUniversity of Cape Town
dc.subject.otherMathematics and Applied Mathematicsen_ZA
dc.titleA study of solutions and perturbations of spherically symmetric spacetimes in fourth order gravity.en_ZA
dc.typeDoctoral Thesis
dc.type.qualificationlevelDoctoral
dc.type.qualificationnamePhDen_ZA
uct.type.filetypeText
uct.type.filetypeImage
uct.type.publicationResearchen_ZA
uct.type.resourceThesisen_ZA
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