Applied Mathematics
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New families of exact solutions for compact stars.
(2018)In this thesis we present new families of exact solutions to the Einstein and Einstein Maxwell eld equations which are relevant in the description of highly compact stellar objects. We rst impose a linear equation of ... 
Semitetrad decomposition of spacetime with conformal symmetry.
(2018)In this thesis, we study the kinematical and dynamical properties of a general spacetime that admits a conformal Killing vector. A 1+1+2 decomposition of the spacetime is performed using the fluid 4velocity and a preferred ... 
First integrals for spherically symmetric shearfree perfect fluid distributions.
(2018)In this dissertation we study spherically symmetric shearfree spacetimes. In particular we analyse the integrability of and find exact solutions to the Emden Fowler equation yxx = f(x)y2; which is the master equation ... 
Bounds on the extremal eigenvalues of positive definite matrices.
(2018)The minimum and maximum eigenvalues of a positive de nite matrix are crucial to determining the condition number of linear systems. These can be bounded below and above respectively using the Gershgorin circle theorem. ... 
Solutions of the Volterra integrodifferential equation.
(2018)Integrodi erential equations has found extensive applications in the eld of engineering, sciences and mathematical modelling of various physical and biological phenomena. In this thesis we focus on the Volterra type ... 
Star formation as a function of environment in the MeerKAT Galaxy Clusters Legacy Survey.
(2023)Probing the star formation (SF) activity of cluster galaxies paves an important path towards the understanding of cluster evolution. This thesis presents the study of star formation rates (SFR) in clusters using ... 
Study of singularly perturbed models and its applications in ecology and epidemiology.
(2017)In recent years the demand for a more accurate description of real life processes and advances in experimental techniques have resulted in construction of very complex mathematical models, consisting of tens, hundreds, if ... 
Tracing star formation in groups and filaments around a young active galaxy cluster at z ∼ 1.46.
(2022)Abstract available in PDF. 
The evolution of galaxies in SunyaevZel’dovich selected galaxy clusters from ACT DR5.
(2023)Abstract available in PDF. 
Investigation of the South African public TVET colleges’ engineering official mathematics curriculum for entry level artisans.
(2023)One of the main objectives of any mathematics curriculum is to equip students with the necessary thinking skills for realworld problems. As the world evolves every day of our lives, so do the people living in it. ... 
New exact solutions for neutral and charged shearfree relativistic fluids.
(2022)We study shearfree gravitating fluids in general relativity. We first analyse the integrability of the EmdenFowler equation that governs the behaviour of shearfree neutral perfect fluid distributions. We find a new ... 
Generalized radiating stellar models with cosmological constant and electric charge.
(2019)A general matter distribution, with the addition of the cosmological constant and electric charge, for the interior spacetime of a spherically symmetric radiating star undergoing gravitational collapse is considered in ... 
Hyperspheres of static charged fluids in standard and modified gravity.
(2019)Abstract available in PDF. 
Fixed point theory in various generalized metrictype spaces.
(2022)In the theory of fixed points, there are numerous articles dealing with generalization of the basic Banach contraction mapping principle. There has been two lines of approach. The first one is concerned with generalizations ... 
Probing the nature of dark energy with 21cm intensity mapping.
(2020)Two approaches to measure the BAOs (baryon acoustic oscillations) with optical and radio telescopes, namely; galaxy redshift and intensity mapping (IM) surveys have been introduced and discussed in the literature. Among ... 
New models in general relativity and EinsteinGaussBonnet gravity.
(2021)We generate the EinsteinGaussBonnet field equations in five dimensions for a spherically symmetric static spacetime. The matter distributions considered are both neutral and charged. The introduction of a coordinate ...