Eur. Phys. J. C (2015) 75: 250
https://doi.org/10.1140/epjc/s10052-015-3478-6

Regular Article - Theoretical Physics

On the Newtonian anisotropic configurations

¹ Department of Physics, University of Tehran, Tehran, Iran
² Foundations of Physics Group, School of Physics, Institute for Research in Fundamental Sciences (IPM), Tehran, Iran
³ Department of Sciences, Alzahra University, Tehran, Iran

^* e-mail: fshojai@ut.ac.ir

Received: 26 February 2015
Accepted: 25 May 2015
Published online: 9 June 2015

Abstract

In this paper we are concerned with the effects of an anisotropic pressure on the boundary conditions of the anisotropic Lane–Emden equation and the homology theorem. Some new exact solutions of this equation are derived. Then some of the theorems governing the Newtonian perfect fluid star are extended, taking the anisotropic pressure into account.