A perfect fluid model for neutron stars
Abstract
In this paper, we present a physically acceptable internal solution with a perfect fluid, which needs the pressure and density as regular, positive and monotonic decreasing functions and with a speed of sound positive and lower than the speed of light. This solution depends on a parameter y, and it is physically acceptable if w≤0.36068416388, the compactness has a maximum value for the maximum value of y and it corresponds to GMc2R=0.1884895029, thus the model can be applicable to the description of compact stars. In a complementary way, we present the description of a star with mass equal to the sun mass and radius of R=7.85 Km associated to the neutron star Her X-1, obtaining a central density ρc=2.4498608661017Kg/m3 which is characteristic of the neutron stars.
