dc.contributor.advisor | Maharaj, Sunil D. | |

dc.creator | Govender, Jagathesan. | |

dc.date.accessioned | 2012-01-19T07:38:51Z | |

dc.date.available | 2012-01-19T07:38:51Z | |

dc.date.created | 1996 | |

dc.date.issued | 1996 | |

dc.identifier.uri | http://hdl.handle.net/10413/4842 | |

dc.description | Thesis (Ph.D.)-University of Natal, Durban, 1996. | en |

dc.description.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. | en |

dc.language.iso | en | en |

dc.subject | Einstein field equations--Numerical solutions. | en |

dc.subject | General relativity (Physics) | en |

dc.subject | Space and time. | en |

dc.subject | Theses--Mathematics. | en |

dc.title | Spherically symmetric cosmological solutions. | en |

dc.type | Thesis | en |