On rotating star solutions to the non-isentropic Euler-Poisson equations

This paper investigates rotating star solutions to the Euler Poisson equations with a non-isentropic equation of state. As a first step, the equation for gas density with a prescribed entropy and angular velocity distribution is studied. The resulting elliptic equation is solved either by the method of sub and supersolutions or by a variational method, depending on the value of the adiabatic index. The reverse problem of determining angular velocity from gas density is also considered. (C) 2015 Elsevier Inc. All rights reserved.