Charged quark stars in metric $f(R)$ gravity

Abstract

We provide the modified TOV equations for the hydrostatic equilibrium of charged compact stars within the metric $f(R)$ gravitational background. We adopt the MIT bag model EoS for the dense matter and assume a charge distribution where the electric charge density ${\rho }_{\mathrm{ch}}$ is proportional to the standard energy density $\rho$. Using the Starobinsky model, we explore the role of the $\alpha R^2$ term, where $\alpha$ is a free constant and $R$ the Ricci scalar, on the global properties of charged stars such as radius, mass and total charge. We present the dependence of the structure of the star for several values of $\alpha$ and for different values of the constant parameter $\beta \equiv {\rho }_{\mathrm{ch}}/\rho$. Remarkably, we find that the radius decreases with respect to its GR value for low central densities, while the opposite occurs in the high-central-density region. The mass measured at the surface always decreases and the maximum-total charge undergoes a substantial increase as the parameter $\alpha$ increases. We also illustrate the variations of the asymptotic mass as a consequence of the electric charge and the extra quadratic term.

11 pages, 7 figures. To appear in JCAP

References in corpus (14)

• Limit to General Relativity in f(R) theories of gravity
• Nonperturbative models of quark stars in $f(R)$ gravity
• Causal Limit of Neutron Star Maximum Mass in $f(R)$ Gravity in View of GW190814
• Electrically Charged Strange Quark Stars
• Structure of neutron stars in R-squared gravity
• Charged compact star in $f(R,T)$ gravity in Tolman-Kuchowicz spacetime
• Analytic extensions of Starobinsky model of inflation
• Electrically Charged Quark Stars in $4D$ Einstein-Gauss-Bonnet Gravity
• Anisotropic quark stars in $f(R)=R^{1+\epsilon }$ gravity
• Incompressible relativistic spheres: Electrically charged stars, compactness bounds, and quasiblack hole configurations
• Electrically charged strange stars with an interacting quark matter equation of state
• Stellar Structure and Stability of Charged Interacting Quark Stars and Their Scaling Behaviour
• $R^2$-gravity quark stars from perturbative QCD
• Structural properties of charged compact stars with color-flavour-locked quarks matter

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• Radial pulsations, moment of inertia and tidal deformability of dark energy stars
• Compact stars in Rastall gravity: hydrostatic equilibrium and radial pulsations
• Moment of inertia and compactness of quark stars within the context of $f(R,T,L_m)$ gravity
• Relativistic structure of charged quark stars in energy-momentum squared gravity
• Neutron Stars in Modified Teleparallel Gravity
• Vector mesons from a holographic QCD model in $f(R)$-dilaton gravity