Gravastar in f(𝒯,𝒯 ) gravity with Vaidya-Tikekar geometry

We introduce a Gravastar model based on the Mazur-Mottola conjecture within the framework of [Formula: see text] gravity. Gravastars are widely regarded as a plausible alternative to Black Holes (BHs). The Gravastar model consists of internal, intermediate, and outer regions. The thin shell experiences a repulsive force arising from the pressure of the internal core, which is characterized by a constant negative energy density. The Zel'dovich stiff-fluid equation of state (EoS) is satisfied by the ultra-relativistic plasma that constitutes the shell, whose pressure counterbalances the repulsive influence of the interior region. The Schwarzschild solution is followed in the exterior vacuum region. These assumptions result in precise, singularity-free Gravastar solutions with physically consistent features, where the gravitational sector is determined by the trace of the energy-momentum tensor and the torsion scalar.