Exploring gravastar models in f(R, T) gravity with Heintzmann geometry

Gravastars have gained significant attention as a viable alternative to black holes, providing a resolution to the singularity problem while maintaining a strong theoretical foundation. In this work, we construct a gravastar model within the f(R, $T$) framework, employing the Mazur Mottola formalism and utilizing the temporal component of the Heintzmann spacetime to characterize the interior structure. The model comprises three distinct regions: a core with negative energy density, an intermediate thin shell of ultra-relativistic stiff fluid, and an exterior assumed to be de Sitter spacetime which can be governed by the Schwarzschild solution. Under this specification, we derive a set of exact and singularity-free solutions of the gravastar and a comprehensive analysis of the shell’s fundamental attributes, including its geometric thickness, energy content, entropy, surface pressure, density, and equation of state parameter, is conducted. Through rigorous graphical evaluation, we establish the dynamical stability of the proposed configuration, reinforcing the viability of gravastars as astrophysical entities within the broader framework of modified gravity.