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Thisthesisisidevotedtothestudyofchargedisotropicandanisotropicfluidgravitational collapse in the frame work of General Theory of Relativity. We have investigated the dynamical features of the charged viscous cylindrical source using the Misner’s approach. The Einstein-Maxwell field equations and conservation equations have been formulated for the assumed matter and geometry. Using the Darmois criteria, we have investigated the matching conditions for the smooth matchingoftheinteriorregionofcylindricalsourcewithVaidyalikeexteriorsolution. Toseeeffectsofcharge,heatfluxandviscosityonthedynamicsofgravitational collapse, the dynamical equations of the charged gravitating cylindrical source have been coupled with transportation equations. Also, we have discussed the thermalevaluationofcollapsingchargedcompactobject. Theequationsofmotion as well as junction conditions have been formulated for the spherical gravitating source. The perturbation scheme of first order is then applied to field equations, conservations equations and truncated version of the heat transport equation. The resulting system of equations provide the collapse equation and temperature profile of the gravitating system. We have explored the anisotropic fluid collapse enclosed by the cylindrical and plane symmetric spacetimes. We have presented theiparametric form of twoimetricifunctions in term ofia single metric function, which helps to determine the expansion and collapse of the gravitating sources.
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