Browsing Mathematics and Computer Science Education by Advisor "Maharaj, Sunil D."
Now showing items 118 of 18

Anisotropic stars in general relativity.
(2004)In this thesis we seek new solutions to the anisotropic Einstein field equations which are important in the study of highly dense stellar structures. We first adopt the approach used by Maharaj & Maartens (1989) to obtain ... 
Applications of symmetry analysis to physically relevant differential equations.
(2005)We investigate the role of Lie symmetries in generating solutions to differential equations that arise in particular physical systems. We first provide an overview of the Lie analysis and review the relevant symmetry ... 
Aspects of spherically symmetric cosmological models.
(1998)In this thesis we consider spherically symmetric cosmological models when the shear is nonzero and also cases when the shear is vanishing. We investigate the role of the EmdenFowler equation which governs the behaviour ... 
Computer analysis of equations using Mathematica.
(2001)In this thesis we analyse particular differential equations that arise in physical situations. This is achieved with the aid of the computer software package called Mathematica. We first describe the basic features of ... 
Conformally invariant relativistic solutions.
(1993)The study of exact solutions to the Einstein and EinsteinMaxwell field equations, by imposing a symmetry requirement on the manifold, has been the subject of much recent research. In this thesis we consider specifically ... 
Cosmological models and the deceleration parameter.
(1992)In this thesis we utilise a form for the Hubble constant first proposed by Berman (1983) to study a variety of cosmological models. In particular we investigate the RobertsonWalker spacetimes, the Bianchi I spacetime, ... 
Dynamics of dissipative gravitational collapse.
(2008)In this study we generate the matching conditions for a spherically symmetric radiating star in the presence of shear. Two new exact solutions to the Einstein held equations are presented which model a relativistic radiating ... 
Exact models for radiating relativistic stars.
(2007)In this thesis, we seek exact solutions for the interior of a radiating relativistic star undergoing gravitational collapse. The spherically symmetric interior spacetime, when matched with the exterior radiating Vaidya ... 
Exact solutions for spherical relativistic models.
(2011)In this thesis we study relativistic models of gravitating uids with heat ow and electric charge. Firstly, we derive the model of a charged shearfree spherically symmetric cosmological model with heat ow. The ... 
Explicit models for spherical static fluids in EinsteinGaussBonnet gravity.
(2016)In this research, we explore modifications to the EinsteinHilbert action by examining exact barotropic distributions in EinsteinGaussBonnet gravity (EGB). We consider exact solutions of interior models in stars in ... 
Inhomogeneous solutions to the Einstein equations.
(2007)In this dissertation we consider spherically symmetric gravitational fields that arise in relativistic astrophysics and cosmology. We first present a general review of static spherically symmetric spacetimes. aand highlight ... 
New analytical stellar models in general relativity.
(2009)We present new exact solutions to the Einstein and EinsteinMaxwell field equations that model the interior of neutral, charged and radiating stars. Several new classes of solutions in static spherically symmetric interior ... 
On the status of the geodesic law in general relativity.
(1998)The geodesic law for test particles is one of the fundamental principles of general relativity and is extensively used. It is thought to be a consequence of the field laws but no rigorous proof exists. This thesis is ... 
Realistic charged stellar models
(2007)In this thesis we seek exact solutions to the isotropic EinstienMaxwell system that model the interior of relativistic stars. The field equations are transformed to a simpler form using the transformation of Durgapal and ... 
Some models of relativistic radiating stars.
(2012)In this dissertation we study radiating stars in strong gravitational elds. We generate new classes of exact solutions to the Einstein eld equations and the boundary condition applicable to radiating relativistic stars. ... 
Spherically symmetric cosmological solutions.
(1996)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. ... 
Spherically symmetric solutions in relativistic astrophysics.
(2002)In this thesis we study classes of static spherically symmetric spacetimes admitting a perfect fluid source, electromagnetic fields and anisotropic pressures. Our intention is to generate exact solutions that model the ... 
Stellar structure and accretion in gravitating systems.
(2012)In this thesis we study classes of static spherically symmetric solutions to the Einstein and Einstein–Maxwell equations that may be used to model the interior of compact stars. We also study the spherical accretion of ...