Abstract
This work presents the existence of a cold and compact object known as gravastar in f(R,T) theory of gravity. The Finch–Skea function f(r)=1+ar2 with a being an arbitrary constant is assumed corresponding to radial metric coefficient. The solution of the field equations for f(R,T)=R+γT yields the gravastar analytical solutions surrounded by the perfect fluid. We interpret the Schwarzschild geometry in exterior as absolutely vacuumed region. The arbitrary constant involved in Finch–Skea metric potential is derived through matching condition. Conclusively, we obtain such a sensational gravitational collapse model that is thermodynamically stable and clear from issues in the theory of black holes.
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