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Slowly rotating fluid balls with linear equation of state

Gyula Fodor
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Abstract

Slowly rotating perfect fluid balls with regular center and asymptotically flat exterior are considered to second order in the rotation parameter. The necessary condition for being Petrov type D is given for general perfect fluid matter. As a special case, fluids with a linear equation of state are considered. Using a power series expansion at the regular center, it is shown that the Petrov D condition is inconsistent with the linear equation of state assumption.

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Gyula Fodor. 2006-12-13. Slowly rotating fluid balls with linear equation of state. https://arxiv.org/abs/gr-qc/0612080

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