Stability of charged anisotropic thin shell gravastars admitting conformal motion in f(R,T) gravity

This paper investigates the interesting features of gravastar configuration under charged anisotropic fluid distribution considering geometry-matter coupling theory. In the context of $f(R,T)$ gravity, we derive exact solutions of the Einstein field equations using the linear form of the function $f(R,T)=R+2\gamma T$, where $R$ is the Ricci scalar and $T$ is the trace of the energy–momentum tensor with conformal motion. We consider three different regions of gravastar, the interior region having a definite radius $r$, the intermediate layer of matter with the thickness $ϵ$, and the outer region with the radius $r+ϵ$. For the viability of our developed solution, we examine the metric potentials, energy density, and pressure components inside the thin shell for different values of theory parameter $\gamma$, and charge $Q$. Using the well-known matching conditions, we interpret the dynamical properties of gravastar such as surface charge density, surface pressure, proper length, equation of state parameter, entropy, and evolution of shell energy under the allowed range of parameters. Moreover, we analyze the presence of realistic matter inside the thin shell through energy conditions. The dynamical stability of the gravastar is checked through the equilibrium profile and speed of sound parameter, which shows the stable configuration of the gravastar in our theoretical studies.