1+1+2 covariant approach to gravitational lensing in f(R) gravity

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dc.contributor.advisorDunsby, Peteren_ZA
dc.contributor.authorNzioki, Anne Marieen_ZA
dc.date.accessioned2016-02-18T12:15:32Z
dc.date.available2016-02-18T12:15:32Z
dc.date.issued2009en_ZA
dc.descriptionIncludes bibliographical references (pages 64-67).en_ZA
dc.description.abstractIn this thesis, we develop the 1 + 1 + 2 formalism, a technique originally devised for General Relativity, to treat spherically symmetric spacetimes in for fourth order theories of gravity. Using this formalism, we derive equations for a static and spherically symmetric spacetime for general f(R) gravity. We apply these master eqautions to derive some exact solutions, which are used to gain insight on Birkhoff's theorem in this framework. Additionally, we derive a covariant form of the lensing angle for a specific spherically symmetric solution in f(R) = Rn gravity.en_ZA
dc.identifier.apacitationNzioki, A. M. (2009). <i>1+1+2 covariant approach to gravitational lensing in f(R) gravity</i>. (Thesis). University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics. Retrieved from http://hdl.handle.net/11427/17116en_ZA
dc.identifier.chicagocitationNzioki, Anne Marie. <i>"1+1+2 covariant approach to gravitational lensing in f(R) gravity."</i> Thesis., University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 2009. http://hdl.handle.net/11427/17116en_ZA
dc.identifier.citationNzioki, A. 2009. 1+1+2 covariant approach to gravitational lensing in f(R) gravity. University of Cape Town.en_ZA
dc.identifier.ris TY - Thesis / Dissertation AU - Nzioki, Anne Marie AB - In this thesis, we develop the 1 + 1 + 2 formalism, a technique originally devised for General Relativity, to treat spherically symmetric spacetimes in for fourth order theories of gravity. Using this formalism, we derive equations for a static and spherically symmetric spacetime for general f(R) gravity. We apply these master eqautions to derive some exact solutions, which are used to gain insight on Birkhoff's theorem in this framework. Additionally, we derive a covariant form of the lensing angle for a specific spherically symmetric solution in f(R) = Rn gravity. DA - 2009 DB - OpenUCT DP - University of Cape Town LK - https://open.uct.ac.za PB - University of Cape Town PY - 2009 T1 - 1+1+2 covariant approach to gravitational lensing in f(R) gravity TI - 1+1+2 covariant approach to gravitational lensing in f(R) gravity UR - http://hdl.handle.net/11427/17116 ER - en_ZA
dc.identifier.urihttp://hdl.handle.net/11427/17116
dc.identifier.vancouvercitationNzioki AM. 1+1+2 covariant approach to gravitational lensing in f(R) gravity. [Thesis]. University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 2009 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/17116en_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.title1+1+2 covariant approach to gravitational lensing in f(R) gravityen_ZA
dc.typeMaster Thesis
dc.type.qualificationlevelMasters
dc.type.qualificationnameMScen_ZA
uct.type.filetypeText
uct.type.filetypeImage
uct.type.publicationResearchen_ZA
uct.type.resourceThesisen_ZA
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