Eur. Phys. J. C (2018) 78: 516
https://doi.org/10.1140/epjc/s10052-018-5992-9

Regular Article - Theoretical Physics

New classes of anisotropic models with generalized polytropic equation of state

¹ Department of Mathematics, University of Management and Technology, Lahore, Pakistan
² University of Education, Lahore, Multan Campus, Multan, Pakistan

^* e-mail: azam.math@ue.edu.pk

Received: 18 May 2018
Accepted: 11 June 2018
Published online: 22 June 2018

Abstract

In this paper, we investigate the gravitational behavior of compact objects with the help of generalized polytropic equation of state in isotropic coordinates. We found three exact solutions of Einstein field equations by taking into account the different values of polytropic index with spherically symmetric anisotropic inner fluid distribution. We have regained the masses of PSR , Vela X-1, Vela 4U, PSR J1903+327 and 4U 1820-30. Speed of sound has been used to analyze the stability of models. The comprehensive analysis indicates that all the models are physically viable and well behaved.