Non-singular Durgapal-Fuloria Gravastar Solutions in \(f(R,L_{m},T)\) Gravity

Abstract

The gravastar (gravitational vacuum star) has been introduced as a viable alternative to black hole (BH), with its foundational concept developed by Pawel Mazur and Mottola. This study explores a non-minimal matter-geometry coupling given by \(f(R,L_{m}, T) = R+\alpha T L_{m}\), and constructs a gravastar model in the context of modified \(f(R,L_{m},T)\) gravity. Unlike earlier investigations, the present work emphasizes the impact of the trace-matter interaction on the physical viability and stability of the gravastar configuration. As proposed by Mazur and Mottola, the gravastar configuration is divided into three separate region, with each region governed by its own distinct equation of state. For the interior sector, we adopt a spacetime description corresponding to a vacuum like fluid with \(p= -\rho \). Within the dark sector, adopting the EoS \(\rho = p\) characteristic of an ultra-relativistic fluid leads to a negative energy density, which generates a repulsive gravitational effect acting on the neighboring thin shell. A detailed quantitative investigation of the proper length, total energy, energy density, and entropy is carried out. For the vacuum exterior of the garvastar, the Schwarzschild metric spacetime is considered. Furthermore, we investigate the interface between the interior and exterior spacetime region of the gravastar by employing relevant junction conditions.