Gravastar in the framework of symmetric teleparallel gravity* *SP & PKS acknowledges the National Board for Higher Mathematics (NBHM) under the Department of Atomic Energy (DAE) of the government of India for financial support to carry out the research project (02011/3/2022 NBHM(R.P.)/R & D II/2152 Dt.14.02.2022)

Abstract

We present a novel gravastar model based on the Mazur-Mottola (2004) method with an isotropic matter distribution in gravity. The gravastar, which is a hypothesized substitute for a black hole, is built using the Mazur-Mottola mechanism. This approach allows us to define the gravastar as having three stages. The first one is an inner region with negative pressure; the next region is a thin shell that is made up of ultrarelativistic stiff fluid, and we studied the proper length, energy, entropy, and surface energy density for this region. Additionally, we demonstrated the possible stability of our suggested thin shell gravastar model through the graphical study of the surface redshift. The exterior Schwarzschild geometry describes the outer region of the gravastar. In the context of gravity, we discovered analytical solutions for the interior of gravastars that are free of any type of singularity and the event horizon.