Bardeen Compact Stars in Modified $f(R)$ Gravity with Conformal Motion

Abstract

The main emphasis of this paper is to find the viable solutions of Einstein Maxwell fields equations of compact star in context of modified $f(R)$ theory of gravity. Two different models of modified $f(R)$ gravity are considered. In particular, we choose isotropic matter distribution and Bardeen's model for compact star to find the boundary conditions as an exterior space-time geometry. We use the conformal Killing geometry to compute the metric potentials. We discuss the behavior of energy density and pressure distribution for both models. Moreover, we analyze different physical properties such as behavior of energy density and pressure, equilibrium conditions, equation of state parameters, causality conditions and adiabatic index. It is noticed that both $f(R)$ gravity models are suitable and provides viable results with Bardeen geometry.

arXiv comment13 pages, 11 figures

References in corpus (27)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• f(R,T) gravity
• Is Cosmic Speed-Up Due to New Gravitational Physics?
• Modified gravity with negative and positive powers of the curvature: unification of the inflation and of the cosmic acceleration
• Curvature Quintessence
• Modified Gauss-Bonnet theory as gravitational alternative for dark energy
• Extra force in $f(R)$ modified theories of gravity
• Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion
• Anisotropic Stars in General Relativity
• Maximum bounds on the surface redshift of anisotropic stars
• Further stable neutron star models from f(R) gravity
• Quark stars admitting a one-parameter group of conformal motions
• The Mass-Radius relation for Neutron Stars in $f(R)$ gravity
• Sharp bounds on the critical stability radius for relativistic charged spheres
• On the Importance of NNLO QCD and Isospin-breaking Corrections in ${\epsilon }^{\prime }/\epsilon$
• Nonperturbative models of quark stars in $f(R)$ gravity
• Anisotropic Compact stars with variable cosmological constant
• Gravastars in $f(R,\mathcal{T})$ gravity
• Energy conditions in $f(R,G)$ gravity
• Causal Limit of Neutron Star Maximum Mass in $f(R)$ Gravity in View of GW190814
• Quasinormal Modes of Bardeen Black Hole: Scalar Perturbations
• Gravitational lensing by a regular black hole
• Stability properties of black holes in self-gravitating nonlinear electrodynamics
• Bardeen Stellar Structures with Karmarkar Condition
• Bardeen Black Holes in the Regularized $4D$ Einstein--Gauss--Bonnet Gravity
• Quantum Corrections for a Bardeen Regular Black Hole
• Massive Compact Bardeen Stars with Conformal Motion

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