Compressibility of the Quark Stars in Einstein-Gauss-Bonnet Gravity

Abstract

To study the behavior of some of the quark stars (QSs) in the Einstein-Gauss-Bonnet gravity, we develop analytically the equation of state (EoS). We show that the Gauss-Bonnet coupling affects the star compressibility. This last relates the radial pressure with the thermodynamic volume and analyzes their behavior through the quark stars. We have found that the TOV equation is well behaved as the van der Waals equation. We discuss the characteristics of the radial and tangential compressibility in the surface and inside the star. We have determined the thickness of the region that contains the quarks in the QS. We show that the quark fluid exists in the region between the Schwarzschild radius and the radius of stars. We study the stability under radial and tangential perturbations.