Abstract
In the present article, we have investigated a new family of nonsingular solutions of static relativistic compact sphere which incorporates the characteristics of anisotropic fluid and electromagnetic field in the context of minimally coupled f R theory of gravity. The strange matter MIT bag model equation of state (EoS) has been considered along with the usual forms of the Karori–Barua KB metric potentials. For this purpose, we derived the Einstein–Maxwell field equations in the assistance of strange matter EoS and KB type ansatz by employing the two viable and cosmologically well-consistent models of f R = R + γ R 2 and f R = R + γ R R + α R 2 . Thereafter, we have checked the physical acceptability of the proposed results such as pressure, energy density, energy conditions, TOV equation, stability conditions, mass function, compactness, and surface redshift by using graphical representation. Moreover, we have investigated that the energy density and radial pressure are nonsingular at the core or free from central singularity and always regular at every interior point of the compact sphere. The numerical values of such parameters along with the surface density, charge to radius ratio, and bag constant are computed for three well-known compact stars such as CS1 SAXJ 1808 . 4 − 3658 ( x ˜ = 7.07 km , CS2 VelaX − 1 x ˜ = 9.56 km , and CS3 4U1820 − 30 x ˜ = 10 km and are presented in Tables 1–6. Conclusively, we have noticed that our presented charged compact stellar object in the background of two well-known f R models obeys all the necessary conditions for the stable equilibrium position and which is also perfectly fit to compose the strange quark star object.
Highlights
An intellectual thinking came in mind of research collaborators why our Universe is much rapidly growing towards large expansion. ey tried to find out reasons behind this accelerating growth of Universe
The right picture of these factors was revealed by the international research collaboration team in 1998 by observing supernovae type-Ia [1,2,3,4,5,6,7,8,9], which was later proved by surveying of the cosmic microwave background (CMB) radiation [10, 11], huge scale structure [12,13,14,15,16,17], and Wilkinson Microwave Anisotropy Probe (WMAP) [18]. e above phenomenological factors of accelerating cosmic Universe can be well interpreted in higher order modified gravity theories rather than the concept of general relativity (GR) theory because these gravity theories could identify the right cosmological scenario of this mysterious Universe at the higher order curvature scale
Briscese et al [38] have proposed the stable position of objects in f(R) gravity as a test of the theory’s consistency. ey reported that some paradigms of f(R) gravity cannot maintain the stable position of star and are treated unreliable
Summary
An intellectual thinking came in mind of research collaborators why our Universe is much rapidly growing towards large expansion. ey tried to find out reasons behind this accelerating growth of Universe. Several phenomenal findings regarding these compact objects have been investigated in different alternative gravity theories with distinct approaches [61,62,63,64,65,66,67,68,69] In spite of these consequences, several realistic features of anisotropic compact stellar systems have been examined in GR during the couple of few decades. Mak and Harko [74] found a class of exact solutions of gravitational field equations for the physical existence of a compact object made of a strange quark matter.
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