Exact anisotropic polytropic cylindrical solutions |
| |
Authors: | M Sharif Sobia Sadiq |
| |
Institution: | 1.Department of Mathematics,University of the Punjab,Lahore,Pakistan |
| |
Abstract: | In this paper, we study anisotropic compact stars with static cylindrically symmetric anisotropic matter distribution satisfying polytropic equation of state. We formulate the field equations as well as the corresponding mass function for the particular form of gravitational potential \(z(x)=(1+bx)^{\eta }~(\eta =1,~2,~3)\) and explore exact solutions of the field equations for different values of the polytropic index. The values of arbitrary constants are determined by taking mass and radius of compact star (Her X-1). We find that resulting solutions show viable behavior of physical parameters (density, radial as well as tangential pressure, anisotropy) and satisfy the stability condition. It is concluded that physically acceptable solutions exist only for \(\eta =1,~2\). |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|