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Anisotropic charged realistic models in $f (R)$ gravity under Durgapal transformation

M. Zubair

Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Lahore-Pakistan

E-mail Address: [email protected]

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Rabia Saleem

http://orcid.org/0000-0002-1124-9624

Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Lahore-Pakistan

E-mail Address: [email protected]

Corresponding author.

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, and

Maham Lodhi

Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Lahore-Pakistan

E-mail Address: [email protected]

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https://doi.org/10.1142/S0219887820501856Cited by:6 (Source: Crossref)

Abstract

In this paper, we investigate the charged static spherically symmetric models in $f (R)$ theory of gravity. We consider a linear equation of state (EoS) in the background of anisotropic matter configuration. We formulate the modified field equations and implement Durgapal transformation to examine the gravitational nature of compact stellar objects. For this purpose, we choose a specific gravitational potential and electric charge intensity to analytically solve the set of field equations. We generate three special cases of solutions for specific parametric values of $a, b$ appearing in the expression of gravitational potential. The evolution of physical observables, such as energy density, anisotropy parameter, radial and tangential pressures and electric field intensity, are presented in all cases. Via physical analysis, it is observed that the solution of charged compact spheres satisfies acceptability criteria, models are well behaved, and depict stability and consistency in accordance with $f (R)$ gravity for generated models.

Keywords:

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