A covariant approach to gravitational lensing

Simple item page
dc.contributor.advisorDunsby, Peter K Sen_ZA
dc.contributor.advisorClarkson, Chrisen_ZA
dc.contributor.authorDe Swardt, Bonitaen_ZA
dc.date.accessioned2014-07-31T08:07:02Z
dc.date.available2014-07-31T08:07:02Z
dc.date.issued2004en_ZA
dc.descriptionIncludes bibliography.
dc.description.abstractThe main focus of this thesis is to study the properties of null geodesics in general relativistic models. This thesis is divided into two parts. In the first part, we introduce the (1+3)-covariant approach which will be used in our study of null geodesics and their applications to gravitational lensing. The dynamics of the null congruence can be better understood through the propagation and constraint equations in the direction of the congruence. Thus, we derive these equations after describing the geomentry of a ray. We also derive a general from of the null geodesic deviation equation (NGDE) which can be used in any given space-time. Various applications of this equation are studied, including its role in determining area-distance relations in an Friedmann-Lemaitre-Robertson-Walker (FLRW) cosmological model. We also use the NGDE in deriving a covariant form of the angle of deflection, showing its versatile applications in gravitational lensing theory.en_ZA
dc.identifier.apacitationDe Swardt, B. (2004). <i>A covariant approach to gravitational lensing</i>. (Thesis). University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics. Retrieved from http://hdl.handle.net/11427/4879en_ZA
dc.identifier.chicagocitationDe Swardt, Bonita. <i>"A covariant approach to gravitational lensing."</i> Thesis., University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 2004. http://hdl.handle.net/11427/4879en_ZA
dc.identifier.citationDe Swardt, B. 2004. A covariant approach to gravitational lensing. University of Cape Town.en_ZA
dc.identifier.ris TY - Thesis / Dissertation AU - De Swardt, Bonita AB - The main focus of this thesis is to study the properties of null geodesics in general relativistic models. This thesis is divided into two parts. In the first part, we introduce the (1+3)-covariant approach which will be used in our study of null geodesics and their applications to gravitational lensing. The dynamics of the null congruence can be better understood through the propagation and constraint equations in the direction of the congruence. Thus, we derive these equations after describing the geomentry of a ray. We also derive a general from of the null geodesic deviation equation (NGDE) which can be used in any given space-time. Various applications of this equation are studied, including its role in determining area-distance relations in an Friedmann-Lemaitre-Robertson-Walker (FLRW) cosmological model. We also use the NGDE in deriving a covariant form of the angle of deflection, showing its versatile applications in gravitational lensing theory. DA - 2004 DB - OpenUCT DP - University of Cape Town LK - https://open.uct.ac.za PB - University of Cape Town PY - 2004 T1 - A covariant approach to gravitational lensing TI - A covariant approach to gravitational lensing UR - http://hdl.handle.net/11427/4879 ER - en_ZA
dc.identifier.urihttp://hdl.handle.net/11427/4879
dc.identifier.vancouvercitationDe Swardt B. A covariant approach to gravitational lensing. [Thesis]. University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 2004 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/4879en_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.otherApplied Mathematicsen_ZA
dc.titleA covariant approach to gravitational lensingen_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
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
thesis_sci_2004_de_swardt_b.pdf
Size:
3.82 MB
Format:
Adobe Portable Document Format
Description:
Download
Collections
Masters