Spherically symmetric perfect fluid solutions in isotropic coordinates
Joseph Hajj-Boutros
Abstract
Joseph Hajj-Boutros
Abstract
A method of generating solutions of Einstein’s field equations for static fluid spheres is presented. This new method has a very clear advantage since it bypasses the direct resolution of the field equations. One of the solutions obtained is then studied in some detail; it verifies an equation of state of the form p≂αρ+βρ1+1/n.
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A method of generating solutions of Einstein’s field equations for static fluid spheres is presented. This new method has a very clear advantage since it bypasses the direct resolution of the field equations. One of the solutions obtained is then studied in some detail; it verifies an equation of state of the form p≂αρ+βρ1+1/n.
Key concepts: Perfect fluid, Einstein field equations, Isotropy, Field equation, Mathematical analysis, Classical mechanics, SPHERES, Field (mathematics)