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The current study emphasizes the impact of electric charge for static spherically symmetric stellar structures using isotropic distribution in f (R , T) theory of gravity. For this purpose, we assume the Krori–Barua metric potential, ν (r) = B r 2 + C and λ (r) = A r 2 , where A , B and C are the unknowns constants. The simplified phenomenological MIT bag equation of state, p = 1 3 (ρ − 4 B g) , and a precise form of electrical charge distribution q (r) = Q (r R) 3 = χ r 3 to be evaluated for the solution of Einstein–Maxwell field equations. To get the value of unknown parameters of the compact structures, we compare the Krori–Barua spacetime to external Bardeen geometry. Moreover, we examine the physical attributes of compact objects by presuming three viable f (R , T) models. We analyze the graphical behavior of density and pressure, the Tolman–Oppenheimer–Volkov equation, energy conditions, mass function, surface redshift, and adiabatic index. It is recognized that all the obtained results deliver emphatic evidence for the stability of our considered realistic stars. [ABSTRACT FROM AUTHOR]

• Two new exact and analytic solutions of the Einstein–Maxwell field equations describing compact anisotropic charged stars satisfying the Karmarkar condition in the background of Bardeen black hole geometry are studied. • The validity of the solutions is verified by performing several physical tests. • The solutions satisfy all the physical requirements necessary for well-behaved models. • The models represent neutron star in Vela X-1. In this paper, we present two new exact and analytic solutions of the Einstein–Maxwell field equations describing compact anisotropic charged stars satisfying the Karmarkar condition in the background of Bardeen black hole geometry. The solutions are composed of two parts: The inner region of the star is described by class I Karmarkar space-time, while exterior of the star is characterized by both the Bardeen and the Reissner–Nordstrom space-times. Physical analysis of the matter and thermodynamical variables show that the models are well-behaved. For our parametric set of values, we conclude that the Bardeen black hole metric can be used as an alternate to the exterior Reissner–Nordstrom metric. [ABSTRACT FROM AUTHOR]

• We have obtained a new parametric class of well-behaved solutions in embedding class I. • We use pressure anisotropy and Karmarkar condition for developing viable models of compact stars PSR J1614-2230 and SAX J1808.4-3658. • Our solutions satisfy the following stability conditions i.e., Herrera cracking condition, causality condition, Bondi condition, Zeldovich condition and stable static criteria (Harrison-Zeldovich-Novikov criterion) for both the stars in their respective ranges of parametric class. • Our solutions satisfy all energy conditions and equilibrium condition (TOV equation) which are essential for a physically viable stellar models. The aim of this paper is to explore a new parametric class of relativistic solutions to the Einstein field equations describing a spherically symmetric, static distribution of anisotropic fluid spheres to study the behavior of some of the cold stars in the setting of Karmarkar space-time continuum. We develop models of stellar objects for a range of parameter values of n and analyze their behavior through graphical representation. For each of these models, we have found that the metric potentials are well behaved inside the stellar interior and the physical parameters such as density, radial and tangential pressures, red-shift, radial speed, radial pressure density ratio and energy conditions display a continuous decrease from the center to surface of the stars whereas the mass, anisotropy, adiabatic indexes and compactification factor show a monotonous increase which imply that the proposed solution satisfy all the physical aspects of a realistic stellar objects. The stability of the solutions are verified by examining various stability aspects, viz., Zeldovich criteria, causality condition, Bondi condition, equilibrium condition (TOV-equation) and stable static criteria in connection to their cogency. [ABSTRACT FROM AUTHOR]