On the Newtonian Anisotropic Configurations
F. Shojai, M.R. Fazel, A. Estepanian, M. Kohandel
TL;DR
This paper investigates how anisotropic pressure influences boundary conditions and solutions in Newtonian stellar models, extending classical theorems to include anisotropic effects and deriving new exact solutions.
Contribution
It introduces new exact solutions to the anisotropic Lane-Emden equation and extends existing theorems on Newtonian perfect fluid stars to account for anisotropic pressure.
Findings
Derived new exact solutions of the anisotropic Lane-Emden equation.
Extended classical theorems to include anisotropic pressure effects.
Analyzed boundary condition modifications due to anisotropy.
Abstract
In this paper we are concerned with the effects of anisotropic pressure on the boundary conditions of anisotropic Lane-Emden equation and 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.
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Taxonomy
TopicsMathematics and Applications