Browsing Doctoral Degrees (Applied Mathematics) by Subject "Einstein field equations."
Now showing items 18 of 8

Analysis of shearfree spherically symmetric charged relativistic fluids.
(2011)We study the evolution of shearfree spherically symmetric charged fluids in general relativity. This requires the analysis of the coupled EinsteinMaxwell system of equations. Within this framework, the master field ... 
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, highenergy 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 ... 
Exact models of compact stars with equations of state.
(2013)We study exact solutions to the EinsteinMaxwell system of equations and relate them to compact objects. It is well known that there are substantial analytic difficulties in the modelling of selfgravitating, static fluid ... 
Group theoretic approach to heat conducting gravitating systems.
(2013)We study shearfree 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 ... 
Models in isotropic coordinates with equation of state.
(2014)In this thesis we consider spacetimes which are static and spherically symmetric related to the Einstein and EinsteinMaxwell system of equations in isotropic coordinates. We study both neutral and charged matter ... 
New models for quark stars with charge and anisotropy.
(2014)We find new classes of exact solutions for the EinsteinMaxwell field equations. The solutions are obtained by considering charged anisotropic matter with a linear equation of state consistent with quark stars. The field ... 
New solutions for a radiating star.
(2018)