Anisotropic quark stars in $R^2$ gravity

Abstract

In the present paper, we treat the problem of the existence of quark stars (QSs) for selected homogeneous and unpaired charge-neutral $3$-flavor interacting quark matter with $\mathcal{O}(m_s^4)$ corrections equations of state (EoS). Using the EoS combined with the Tolmann-Oppenheimer-Volkoff (TOV) structure equations, the properties of stars are explored by obtaining their mass-radius relations. All calculations are carried out within the framework of the $R$-squared gravity defined by $f(R)=R+a{R}^2$. Our main goal is to discuss the effect for a wide range of the $R$-squared gravity parameter, $a$, on the mass-radius and the mass-central mass density $(M-{\epsilon }_c)$ relation of QSs. Furthermore, we investigate the dynamical stability condition for those stars, and we show that their dynamical stability depends on the anisotropic parameters $B_{\perp }$ and $a_4^{\perp }$ coming from the respective EoS. In such a scenario our results provide circumstantial evidence in favor of super-massive pulsars.

arXiv comment9 pages, 11 figures; References added; matches published version in Phys.Lett. B

References in corpus (35)

• f(R) Theories Of Gravity
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Modified Gravity and Cosmology
• Shapiro delay measurement of a two solar mass neutron star
• f(R) theories
• Extended Theories of Gravity
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• Planck 2018 results. X. Constraints on inflation
• GW190814: Gravitational Waves from the Coalescence of a 23 M${}_{\odot }$ Black Hole with a 2.6 M${}_{\odot }$ Compact Object
• Color-Flavor Locking and Chiral Symmetry Breaking in High Density QCD
• Hybrid stars that masquerade as neutron stars
• GW190412: Observation of a Binary-Black-Hole Coalescence with Asymmetric Masses
• Avoiding Dark Energy with 1/R Modifications of Gravity
• Color superconducting quark matter
• f(R) Gravity and Chameleon Theories
• The Mass-Radius relation for Neutron Stars in $f(R)$ gravity
• Maximal neutron star mass and the resolution of hyperon puzzle in modified gravity
• Color-Neutral Superconducting Quark Matter
• The realistic models of relativistic stars in f(R) = R + alpha R^2 gravity
• Extended Gravity Description for the GW190814 Supermassive Neutron Star
• Causal Limit of Neutron Star Maximum Mass in $f(R)$ Gravity in View of GW190814
• Phases of dense matter in compact stars
• Rapidly rotating neutron stars in $R$-squared gravity
• The rigidity of crystalline color superconducting quark matter
• Modified gravity with logarithmic curvature corrections and the structure of relativistic stars
• Nuclear Equation of state for Compact Stars and Supernovae
• Quark Stars in 4D Einstein-Gauss-Bonnet gravity with an Interacting Quark Equation of State
• QCD color superconductivity in compact stars: color-flavor locked quark star candidate for the gravitational-wave signal GW190814
• Non-radial Oscillation Modes of Compact Stars with a Crust
• Neutrino emission from compact stars and inhomogeneous color superconductivity
• Anisotropic Quark Stars with an Interacting Quark Equation of State
• Modelling a $2.5M_{\odot }$ Compact Star with Quark Matter
• Axial quasi-normal modes of neutron stars in $R^2$ gravity
• Dark stars in Starobinsky's model
• Color superconductivity and the strange quark

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