A generalized model for compact stars

Abstract

By virtue of the maximum entropy principle, we get an Euler–Lagrange equation which is a highly nonlinear differential equation containing the mass function and its derivatives. Solving the equation by a homotopy perturbation method we derive a generalized expression for the mass which is a polynomial function of the radial distance. Using the mass function we find a partially stable configuration and its characteristics. We show that different physical features of the known compact stars, viz. $$Her~X-1$$, $$RXJ~1856-37$$, SAX J (SS1), SAX J (SS2), and $$PSR~J~1614-2230$$, can be explained by the present model