Stellar Modelling of Compact Stars

The extreme laboratories of the universe demand physics beyond classical limits. This volume rigorously investigates the theoretical modeling of super-dense compact stars. By solving the Einstein Field Equations and their extensions, it constructs observationally consistent models accounting for pressure anisotropy, exotic matter, and modified gravity.Key explorations include: - Dark Energy Stabilization: Uses an embedding class-one formalism to show how repulsive dark energy interacting with baryonic matter acts as a dynamic shield against gravitational collapse.- Electromagnetic Dynamics: Applies a Gaussian density profile to the Einstein-Maxwell equations to model charge accretion, revealing phenomena like spin retardation and force field shifting.- Modified Gravity: Simulates the massive pulsar PSR J0952-0607 using the vanishing complexity condition in f(R, T) gravity, proving matter-geometry coupling allows for denser, stable cores.Verified against fundamental stability criteria, causality bounds, and standard energy conditions, this text provides a robust, physically motivated guide to decoding the densest stellar remnants in the cosmos.