Abstract
The main aim of our study is to explore some relativistic configurations of compact object solution in the background of f R gravity, by adopting the Krori-Barua spacetime. In this regard, we establish the field equations for spherically symmetric spacetime along with charged anisotropic matter source by assuming the specific form of the metric potentials, i.e., ν r = B r 2 + C and λ r = A r 2 . Further, to calculate the constant values, we consider the Bardeen model as an exterior spacetime at the surface boundary. To ensure the viability of the f R gravity model, the physical characteristics including energy density, pressure components, energy bonds, equilibrium condition, Herrera cracking concept, mass-radius relation, and adiabatic index are analyzed in detail. It is observed that all the outcomes by graphical exploration and tabular figures show that the Bardeen black hole model describes the physically realistic stellar structures.
Highlights
In modern cosmology, the discussion of accelerated evolution of the universe is considered as the most significant topic
It is observed that all the outcomes by graphical exploration and tabular figures show that the Bardeen black hole model describes the physically realistic stellar structures
We investigate the graphical responses of anisotropy parameter Δ, given in Equation (15) [104], since the repulsive nature of Δ validates the existence of compact objects
Summary
The discussion of accelerated evolution of the universe is considered as the most significant topic. Erickcek et al [38] obtained the unique solution for the exterior spacetime of the stellar structure by using the matching constraints in the background of matter distribution In this regard, Kainulainen et al [39] discussed the interior spacetime of compact objects in the Palatini formulation of the f ðRÞ theory of gravity. Illyas [72] discussed the charged anisotropic fluid for compact stars by considering some viable f ðGÞ gravity models. Being motivated from the above literature, here, we explore the studies of Mustafa et al [83] in the context of modified f ðRÞ theory by assuming the charged compact structures along with the Bardeen model. The aim of this study is to explore some realistic stellar charged anisotropic model in the context of f ðRÞ gravity, by utilizing the Krori-Barua [66] spacetime.
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