Gravastar model in the structure of f(R,Lm,T) modified theory of gravity

The gravastar (or the Gravitational Vacuum Star) is a very serious alternative proposed to the principle of the black hole, the model of which was originally developed by Mazur and Mottola. A gravastar is an astronomically hypothetically condensed object which is a gravitationally dark vacuum star or a gravitational vacuum condensate star, which is singularity free, spherically symmetric and also super compact. This study concerns about the model of the gravastar in the modified [Formula: see text] gravity considering the form [Formula: see text]. From Mazur–Mottola [P. O. Mazur and E. Mottola, Universe 9, 88 (2023); P. O. Mazur and E. Mottola, Proc. Natl. Acad. Sci. 101, 9545 (2004)], we get to know that a gravastar model has three distinct regions having various Equations of State (EoS). We have inquired into the interior portion with the spacetime considering [Formula: see text], for the dark sector of the interior region, here the negative matter-energy density exerting a repulsive force on the immediate thin shell with the EoS [Formula: see text] where it is considered as an ultra-relativistic fluid. We have studied the properties such as energy density, proper length, total energy and entropy. Next comes the vacuum exterior region of the gravastar which is being described by the Schwarzschild-de-Sitter solution. Also from Darmois–Israel formalism, we have probed the junction connecting the inner and the outer surfaces of the gravastar.

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