Thin-Shell Gravastar Model in $f(Q,T)$ Gravity

TL;DR

This paper develops a stable, singularity-free gravastar model within $f(Q,T)$ gravity, analyzing its physical properties and stability criteria, offering an alternative to black holes in modified gravity frameworks.

Contribution

It introduces a new gravastar model in $f(Q,T)$ gravity with detailed stability analysis and physical properties, extending previous models in Einstein's gravity.

Findings

The gravastar model is stable under entropy maximization.

The model is singularity-free and matches Schwarzschild exterior.

Physical properties like energy and redshift are consistent with stability.

Abstract

In the last few decades, gravastars have been proposed as an alternative to black holes. The stability of the gravastar has been studied in many modified theories of gravity along with Einstein's GR. The $f(Q,T)$ gravity, a successfully modified theory of gravity for describing the current accelerated expansion of the Universe, has been used in this article to study gravastar in different aspects. According to Mazur and Mottola (Proc. Natl. Acad. Sci 101, 9545 (2004)), it has three regions with three different equations of state. Here in this work, we have studied the interior of the gravastar by considering the $p=-\rho$ EoS to describe the dark sector for the interior region. The next region is a thin shell of ultrarelativistic stiff fluid, in which we have investigated several physical properties, viz., the proper length, energy, entropy, surface energy density, etc. In addition, we have studied the surface redshift and speed of sound to check the potential stability of our proposed thin-shell gravastar model. Apart from that, we have used the entropy maximization technique to verify the stability of the gravastar model. The gravastar's outer region is a complete vacuum described by exterior Schwarzschild geometry. Finally, we have presented a stable gravastar model which is singularity-free and devoid of any incompleteness in classical black hole theory.