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arXiv · 1503.05300

Generating static perfect-fluid solutions of Einstein's equations

Hernando Quevedo·Saken Toktarbay
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Abstract

We present a method for generating exact interior solutions of Einstein's equations in the case of static and axially symmetric perfect-fluid spacetimes. The method is based upon a transformation that involves the metric functions as well as the density and pressure of the seed solution. In the limiting vacuum case, it reduces to the Zipoy-Voorhees transformation that can be used to generate metrics with multipole moments. All the metric functions of the new solution can be calculated explicitly from the seed solution in a simple manner. The physical properties of the resulting new solutions are shown to be completely different from those of the seed solution.

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Hernando Quevedo, Saken Toktarbay. 2015-03-18. Generating static perfect-fluid solutions of Einstein's equations. https://doi.org/10.1063/1.4921062

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