Anisotropic quark stars in R2 gravity
Grigoris Panotopoulos, Takol Tangphati, Ayan Banerjee, M. K. Jasim
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 O(ms4) 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+aR2. 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−ϵc) 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⊥ and a4⊥ coming from the respective EoS. In such a scenario our results provide circumstantial evidence in favor of super-massive pulsars.