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Now showing items 1-6 of 6

#### Applications of embedding theory in higher dimensional general relativity.

(2012)

The study of embeddings is applicable and signicant to higher dimensional theories of
our universe, high-energy physics and classical general relativity. In this thesis we investigate
local and global isometric ...

#### Applications of Lie symmetries to gravitating fluids.

(2011)

This thesis is concerned with the application of Lie's group theoretic method
to the Einstein field equations in order to find new exact solutions. We analyse
the nonlinear partial differential equation which arises ...

#### Analysis of shear-free spherically symmetric charged relativistic fluids.

(2011)

We study the evolution of shear-free spherically symmetric charged fluids
in general relativity. This requires the analysis of the coupled Einstein-Maxwell
system of equations. Within this framework, the master field ...

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

(2013)

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 ...

#### 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 ...

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

(2013)

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 ...