Anam Zahra2025-11-282025-11-282024-09-03https://escholar.umt.edu.pk/handle/123456789/13590This thesis is focused on iterative methods for gravitational collapse in higher dimensions. frameworks are developed for the post-quasistatic regime using non-comoving co- ordinate system. various types of fluids, including isotropic and dissipative fluids with free streaming radiation, heat flux, and viscosity are considered here. non-adiabatic distributions are employed with an equation of state that accounts for anisotropy caused by electric charge. dissipation is carried out by streaming-out and diffusion approximations. in non-comoving coordinates, the higher-dimensional interior solution is matched with the Vaidya spacetime for uncharged spheres and the Reissner-Nordstr ̈om solution for charged spheres in the exterior. the generalized form of the post-quasistatic approximation yields a system of higher-dimensional surface equations, which are crucial for understanding physical phenomena such as luminosity, doppler shift, and redshift at the boundary surface of gravitating sources. five-dimensional frameworks for spherically symmetric charged and uncharged com- pact objects with anisotropic fluids are proposed that allows the conformal motion. the behavior of models characteristic pressure, stress, density profile, and surface tension is investigated with the inclusion of a particular density profile and linear equation of state for the higher-dimensional Einstein’s field equations. all the physical parameters are well- behaved for the presented solutions in higher dimensions. the analysis predicts the possible existence of compact stars in five dimensions and, more likely, strange quark stars.enThesis