Anisotropic Stars in 4D Einstein-Gauss-Bonnet Gravity

Abstract

The current trend concerning dense matter physics at sufficiently high densities and low temperatures is expected to behave as a degenerate Fermi gas of quarks forming Cooper pairs, namely a color superconductor, in the core of compact objects. In this context, we study the anisotropy of quark stars (QSs) assuming the internal composition to be comprised of homogeneous, charge neutral 3-flavor interacting quark matter with $\mathcal{O}(m_s^4)$ corrections. Using the equation of state (EoS) with the Tolmann-Oppenheimer-Volkoff (TOV) structure equations, we perform numerical calculation for quark stars and determine the maximum mass-radius relation in the context of $4D$ Einstein-Gauss-Bonnet (EGB) gravity. In particular, we consider the effects of Gauss-Bonnet (GB) coupling constant on the diagrams related to mass-radius $(M-R)$ relation and the mass-central mass density $(M-{\rho }_c)$ relation of QSs. We pay particular attention to the influence of the anisotropy in the equilibrium and stability of strange stars. We also study the other properties of QSs related to compactness and binding energy. Interestingly, our result provides circumstantial evidence in favor of super-massive pulsars in $4D$ EGB gravity.

13 pages, 5 figures, version accepted for publication in Phys. Dark Univ

References in corpus (9)

• Shapiro delay measurement of a two solar mass neutron star
• All static spherically symmetric anisotropic solutions of Einstein's equations
• On Taking the $D\to 4$ limit of Gauss-Bonnet Gravity: Theory and Solutions
• Thermodynamics and P-v criticality of Bardeen-AdS Black Hole in 4-D Einstein-Gauss-Bonnet Gravity
• Higher order gravity theories and their black hole solutions
• Possibility of higher dimensional anisotropic compact star
• Equilibrium, radial stability and non-adiabatic gravitational collapse of anisotropic neutron stars
• Non-radial Oscillation Modes of Compact Stars with a Crust
• Nonlinear magnetically charged black holes in 4D Einstein-Gauss-Bonnet gravity

Cited by in corpus (9)

• The 4D Einstein-Gauss-Bonnet Theory of Gravity: A Review
• Moment of inertia of slowly rotating anisotropic neutron stars in $f(R,T)$ gravity
• Quasinormal modes, shadow and thermodynamics of black holes coupled with nonlinear electrodynamics and cloud of strings
• Quasinormal Modes and Phase Structure of Regular $AdS$ Einstein-Gauss-Bonnet Black Holes
• Thermodynamic properties, thermal image and phase transition of Einstein-Gauss-Bonnet black hole coupled with nonlinear electrodynamics
• Charged $AdS$ Black Holes in $4D$ Einstein--Gauss--Bonnet Massive Gravity
• Anisotropic solution for polytropic stars in 4D Einstein-Gauss-Bonnet gravity
• Corrected thermodynamics of $(2+1)D$ black hole conformally coupled to a massless scalar
• Isotropic and anisotropic neutron star structure in 4D Einstein Gauss Bonnet Gravity