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.

arXiv comment11 pages, 7 figures. To appear in JCAP

References in corpus (39)

• f(R) Theories Of Gravity
• f(R) theories
• Planck 2018 results. X. Constraints on inflation
• Further stable neutron star models from f(R) gravity
• Limit to General Relativity in f(R) theories of gravity
• Electrically charged compact stars and formation of charged black holes
• Electric fields at the quark surface of strange stars in the color-flavor locked phase
• Constraints on Perturbative f(R) Gravity via Neutron Stars
• Neutron Stars in f(R) Gravity with Perturbative Constraints
• Nonperturbative models of quark stars in $f(R)$ gravity
• The realistic models of relativistic stars in f(R) = R + alpha R^2 gravity
• Extended Gravity Description for the GW190814 Supermassive Neutron Star
• Electrically Charged Strange Quark Stars
• Causal Limit of Neutron Star Maximum Mass in $f(R)$ Gravity in View of GW190814
• Non-perturbative and self-consistent models of neutron stars in R-squared gravity
• On neutron stars in f(R) theories: small radii, large masses and large energy emitted in a merger
• Relativistic Charged Spheres II: Regularity and Stability
• Structure of neutron stars in R-squared gravity
• Charged compact star in $f(R,T)$ gravity in Tolman-Kuchowicz spacetime
• Study on charged strange stars in $f\left(R,\mathcal{T}\right)$ gravity
• Charged Compact Stars in $f(\mathcal{G})$ Gravity
• Equilibrium and stability of charged strange quark stars
• Polytropic spheres with electric charge: compact stars, the Oppenheimer-Volkoff and Buchdahl limits, and quasiblack holes
• Analytic extensions of Starobinsky model of inflation
• Structure of the electrospheres of bare strange stars
• Electrically Charged Quark Stars in $4D$ Einstein-Gauss-Bonnet Gravity
• Generating solutions for charged stellar models in general relativity
• Relativistic charged spheres: Compact stars, compactness and stable configurations
• 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
• Study of the charged super-Chandrasekhar limiting mass white dwarfs in the $f(R,\mathcal{T})$ gravity
• White dwarfs with a surface electrical charge distribution: Equilibrium and stability
• Neutron star masses in $R^2$-gravity
• Weakly Charged Compact Stars in $f\left(R\right)$ gravity
• Stellar Structure and Stability of Charged Interacting Quark Stars and Their Scaling Behaviour
• $R^2$-gravity quark stars from perturbative QCD
• Comment on "The Mass-Radius relation for Neutron Stars in $f(R)$ gravity" by S. Capozziello, M. De Laurentis, R. Farinelli and S. Odintsov
• Structural properties of charged compact stars with color-flavour-locked quarks matter

Cited by in corpus (8)

• Cosmological Solutions through Gravitational Decoupling in $f(\mathcal{R},\mathcal{T},{\mathcal{R}}_{\mathrm{ab}}{\mathcal{T}}^{\mathrm{ab}})$ Gravity
• Inflationary Attractors Predictions for Static Neutron Stars in the Mass-Gap Region
• 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