A covariant approach to gravitational lensing

 

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dc.contributor.advisor Dunsby, Peter K S en_ZA
dc.contributor.advisor Clarkson, Chris en_ZA
dc.contributor.author De Swardt, Bonita en_ZA
dc.date.accessioned 2014-07-31T08:07:02Z
dc.date.available 2014-07-31T08:07:02Z
dc.date.issued 2004 en_ZA
dc.identifier.citation De Swardt, B. 2004. A covariant approach to gravitational lensing. University of Cape Town. en_ZA
dc.identifier.uri http://hdl.handle.net/11427/4879
dc.description Includes bibliography.
dc.description.abstract 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. en_ZA
dc.language.iso eng en_ZA
dc.subject.other Applied Mathematics en_ZA
dc.title A covariant approach to gravitational lensing en_ZA
dc.type Thesis / Dissertation en_ZA
uct.type.publication Research en_ZA
uct.type.resource Thesis en_ZA
dc.publisher.institution University of Cape Town
dc.publisher.faculty Faculty of Science en_ZA
dc.publisher.department Department of Mathematics and Applied Mathematics en_ZA
dc.type.qualificationlevel Masters en_ZA
dc.type.qualificationname MSc en_ZA
uct.type.filetype Text
uct.type.filetype Image


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