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Now showing items 1-10 of 46

#### Conformal symmetries and classification in shear-free spherically symmetric spacetimes.

(2015-01-05)

In this thesis we study the conformal geometry of static and non-static spherically
symmetric spacetimes. We analyse the general solution of the conformal Killing vector
equation subject to integrability conditions which ...

#### Age structured models of mathematical epidemiology.

(2014-11-21)

We consider a mathematical model which describes the dynamics for the spread of a directly
transmitted disease in an isolated population with age structure, in an invariant habitat, where
all ...

#### Transport on network structures.

(2014-05-12)

This thesis is dedicated to the study of flows on a network. In the first part of the work, we
describe notation and give the necessary results from graph theory and operator theory that will
be used in the rest of ...

#### New models for quark stars with charge and anisotropy.

(2014)

We find new classes of exact solutions for the Einstein-Maxwell field equations. The
solutions are obtained by considering charged anisotropic matter with a linear equation
of state consistent with quark stars. The field ...

#### Non-circularity of beams in the CMB polarization power spectrum estimation.

(2015-01-05)

Precise measurements of the Cosmic Microwave Background (CMB) anisotropies have been
one of the foremost concerns in modern cosmology as it provides valuable information on the
cosmology of the Universe. However, an ...

#### Exact models of compact stars with equations of state.

(2015-01-05)

We study exact solutions to the Einstein-Maxwell system of equations and relate them to compact
objects. It is well known that there are substantial analytic difficulties in the modelling of
self-gravitating, static fluid ...

#### A discrete Fourier transform based on Simpson's rule.

(2015-01-05)

Fourier transforms are mathematical operations which play a vital role in the
analysis of mathematical models for problems originating from a broad spectrum
of elds. In this thesis, we formulate a discrete transform ...

#### Matrices of graphs and designs with emphasis on their integral eigen-pair balance characteristic.

(2015-01-05)

The interplay between graphs and designs is well researched. In this dissertation we connect
designs and graphs entirely through their associated matrices – the incidence matrix for designs
and the adjacency matrix for ...

#### Group theoretic approach to heat conducting gravitating systems.

(2015-01-07)

We study shear-free heat conducting spherically symmetric gravitating
fluids defined in four
and higher dimensional spacetimes. We analyse models that are both uncharged and charged
via the pressure isotropy condition ...

#### Thermal evolution of radiation spheres undergoing dissipative gravitational collapse.

(2015-09-04)

In this study we investigate the physics of a relativistic radiating star undergoing dissipative
collapse in the form of a radial heat flux. Our treatment clearly demonstrates
how the presence of shear affects the collapse ...