Gravastars with Kuchowicz Metric Potential in $f(R, Σ, T)$ Gravity

Abstract: This manuscript explores the gravastar model in the $f(R,\Sigma,T)$ gravity framework, with the help of Kuchowicz metric funcition, offering an alternative to black holes. A gravastar has three regions: interior, intermediate shell, and exterior. The interior region has pressure equal to negative density, generating a repulsive force across the thin shell. The intermediate shell contains ultra-relativistic plasma fluids, with pressure proportional to density, balancing the interior's repulsive force. The exterior region is a vacuum, described by a generalized Schwarzschild solution. Our specifications yield precise, singularity-free gravaster solutions with physically valid features in the $f(R,\Sigma,T)$ gravity framework, exploring strong gravity and anti-gravity aspects. The gravitational Lagrangian is based on an arbitrary function of torsion scalar $\Sigma$ and trace of the energy-momentum tensor $T$. Our $f(R,\Sigma,T)$ gravity analysis explores gravastars inner workings, revealing insights into gravity, strong gravity, and antigravity forces due to torsion effects. We examine shell properties like length, energy, entropy, and discussed junction conditions. Key findings include constant interior density and pressure, denser shell fluid at the outer boundary, and increasing shell length. These results illuminate gravastar behavior and fundamental gravitational principles.