Non-commutative gravastar configuration in f(R,Lm,T) gravity

This study explores the possibility of gravastar solutions in the context of f(R,Lm,T) gravity, a variation that incorporates the Ricci scalar R, trace of the energy-momentum tensor T and the matter Lagrangian Lm with particular coupling strengths α and β. Also, we explore the interior of a gravastar within a framework motivated by non-commutative geometry, providing a physical justification for this choice. The thin shell is modeled as stiff matter, and two distinct exterior space-times, namely Reissner-Nordstrom and Bardeen metrics, are employed to construct the gravastar model. We examine the physical characteristics of these models, including proper length, entropy, energy, and the equation of state. We analyze the thin shell's effective pressure, energy density, and potential by utilizing the Israel junction conditions. Additionally, we discuss the stability of the thin shell and investigate the deflection angle it causes, which could be probed with future radio telescopes such as the Event Horizon Telescope (EHT). Finally, the surface redshift of the gravastar is evaluated, highlighting its relevance for potential observational detection.