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Einstein's Field Equations for the Interior of a Uniformly Rotating Stationary Axisymmetric Perfect Fluid

E. Kyriakopoulos
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Abstract

We reduce Einstein's field equations for the interior of a uniformly rotating, axisymmetric perfect fluid to a system of six second order partial differential equations for the pressure p the energy density $μ$ and four dependent variables.Four of these equations do not depend on p and $μ$ and the other two determine p and $μ$.

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E. Kyriakopoulos. 2001-02-02. Einstein's Field Equations for the Interior of a Uniformly Rotating Stationary Axisymmetric Perfect Fluid. https://arxiv.org/abs/gr-qc/0102005

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