Maharaj, Sunil Dutt.Govender, Megandren.Naidu, Nolene Ferrari.2010-08-152010-08-1520082008http://hdl.handle.net/10413/85Thesis (M.Sc.)-University of KwaZulu-Natal, Westville, 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 sphere. We examine the role of anisotropy in the thermal evolution of a radiating star undergoing continued dissipative gravitational collapse in the presence of shear. Our model was the first study to incorporate both shear and pressure anisotropy, and these results were published in 2006. The physical viability of a recently proposed model of a shear-free spherically symmetric star undergoing gravitational collapse without the formation of a horizon is investigated. These original results were published in 2007. The temperature profiles of both models are studied within the framework of extended irreversible thermodynamics.enRelativity (Physics)Gravitational collapse.Stars--Radiation.Theses--Mathematics.Thesis