Abstract:
In this thesis, we present new solutions for charged anisotropic matter distributions
by modifying the generalized polytropic equation of state. Using the Einstein-Maxwell
equations in static and spherically symmetric spacetimes, we obtain solutions with non
singular metric potentials, densities, and pressures. These exact solutions for different
variations of the adjustable parameters satisfy all physically admissible conditions. The
Tolman-Oppenheimer-Volkoff equation, the relativistic adiabatic index, and Abreu’s
criterion are used to verify stability. The anisotropy factor starts at zero at the center
and increases outward. Additionally, we study the behaviour of redshifts, compaction
factors, and mass, all of which are found to be in acceptable ranges.
