Abstract
This paper investigates the geometry of a gravitational vacuum star (also known as a gravastar) from the perspective of f(R,T2) gravity. The gravastar can be treated as a black hole substitute with three domains: (i) the inner domain, (ii) the intrinsic shell, and (iii) the outer domain. We examine these geometries using Kuchowicz ansatz for temporal metric function corresponding to a specific f(R,T2) model. We compute a nonsingular radial metric potential for both the interior and intermediate domains. The matching of these domains with exterior Schwarzschild vacuum results in boundary conditions that assist in the evaluation of unknown constants. Finally, we examine various attributes of gravastar domains, such as the equation of state parameter, proper length, energy, and surface redshift. We conclude that the gravastar model is a viable alternative to the black hole in the background of this gravity.
Highlights
Cosmic systems comprised of small- and large-scale structures impact the evolution of the universe and serve as the foundation for cosmological research
We used the Kuchowicz metric function to calculate a new solution for studying an astrophysical compact object known as gravitational vacuum star in f (R, T2) gravity
Dark energy equation of state (EoS) was used in the conservation equation to obtain the constant energy density for the innermost region
Summary
Cosmic systems comprised of small- and large-scale structures impact the evolution of the universe and serve as the foundation for cosmological research. The correlation between accelerated expansion and dark cosmic components was extensively investigated by employing minimal as well as nonminimal coupling between matter and curvature. Ghosh et al [32] used the singularity-free Kuchowicz metric function to discuss the various aspects of stable gravastar structure in the background of GR Ghosh and his collaborators [33] obtained a distinct gravastar solution via embedding class 1 technique using Karmarkar condition. To discuss various features of thinshell gravastar structure in f (G, T) theory (where G is the Gauss–Bonnet invariant), Shamir and Ahmad [35] obtained solutions by solving field equations corresponding to a particular minimal coupling model of this gravity.
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