Cylindrical Gravastar Structure in Energy–momentum Squared Gravity

Abstract

We discuss the gravastar structure referred to as Mazur and Mottola model by taking into account the cylindrically symmetric line element. Gravastar configuration is completely characterized by three regions including inner and outer sectors where a very thin layer of ultra-relativistic matter namely shell domain separates these both regions. The interior sector occupying dark energy (cause of repulsive force) is specified by de-Sitter spacetime. Moreover, the exterior is fully vacuum where state parameters (density and pressure) are zero. The classical de-Sitter and Schwarzschild event horizons are replaced by an intermediate shell of small thickness, which is thought to be the critical surface for the quantum phase transition. For each of these three regions, we use different values of the equation of state parameter. We build a gravastar structure by adopting a particular model of the theory under consideration. For an isotropic static cylindrical matter configuration, we develop the equations of motion. Over hypersurface, matching of the interior as well as exterior regions yields surface energy density and surface pressure. The crucial feature of the newly obtained solution is that it is singularity free. Along with the estimation for the total gravastar mass, the energy density, total energy, proper length, mass and entropy of the shell domain are investigated in correspondence with this model. The developed gravastar model is physically viable and stable.