• Login
    View Item 
    •   ResearchSpace Home
    • College of Humanities
    • School of Education
    • Mathematics and Computer Science Education
    • Doctoral Degrees (Mathematics and Computer Science Education)
    • View Item
    •   ResearchSpace Home
    • College of Humanities
    • School of Education
    • Mathematics and Computer Science Education
    • Doctoral Degrees (Mathematics and Computer Science Education)
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    Spherically symmetric cosmological solutions.

    Thumbnail
    View/Open
    Govender_Jagathesan_1996.pdf (2.506Mb)
    Date
    1996
    Author
    Govender, Jagathesan.
    Metadata
    Show full item record
    Abstract
    This thesis examines the role of shear in inhomogeneous spherically symmetric spacetimes in the field of general relativity. The Einstein field equations are derived for a perfect fluid source in comoving coordinates. By assuming a barotropic equation of state, two classes of nonaccelerating solutions are obtained for the Einstein field equations. The first class has equation of state p = ⅓µ and the second class, with equation of state p = µ, generalises the models of Van den Bergh and Wils (1985). For a particular choice of a metric potential a new class of solutions is found which is expressible in terms of elliptic functions of the first and third kind in general. A class of nonexpanding cosmological models is briefly studied. The method of Lie symmetries of differential equations generates a self-similar variable which reduces the field and conservation equations to a system of ordinary differential equations. The behaviour of the gravitational field in this case is governed by a Riccati equation which is solved in general. Another class of solutions is obtained by making an ad hoc choice for one of the gravitational potentials. It is demonstrated that for a stiff fluid a particular case of the generalised Emden-Fowler equation arises.
    URI
    http://hdl.handle.net/10413/4842
    Collections
    • Doctoral Degrees (Mathematics and Computer Science Education) [54]

    DSpace software copyright © 2002-2013  Duraspace
    Contact Us | Send Feedback
    Theme by 
    @mire NV
     

     

    Browse

    All of ResearchSpaceCommunities & CollectionsBy Issue DateAuthorsTitlesSubjectsAdvisorsTypeThis CollectionBy Issue DateAuthorsTitlesSubjectsAdvisorsType

    My Account

    LoginRegister

    DSpace software copyright © 2002-2013  Duraspace
    Contact Us | Send Feedback
    Theme by 
    @mire NV