1986Journal of Mathematical PhysicsRequires access

Spherically symmetric perfect fluid solutions in isotropic coordinates

Joseph Hajj-Boutros

Open publisher page 17 citations

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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What this paper is about

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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OpenAlex reports 17 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available 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.

Key concepts: Perfect fluid, Einstein field equations, Isotropy, Field equation, Mathematical analysis, Classical mechanics, SPHERES, Field (mathematics)

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