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ABSTRACT

Hernandez 1967

Hernandez, W.C., Jr., 1967: Material sources for the Kerr metric. Phys. Rev., 153, 1070-1072, doi:10.1103/PhysRev.159.1070.

The Kerr metric is a vacuum solution of the Einstein field equations which appears to be the field exterior to some axially symmetric, rotating body. A method based on Synge's g method (guess gμν and calculate Tμν) is given for constructing interior solutions of the field equations which describe rotating, nonperfect-fluid bodies which might serve as sources of the Kerr metric. Finally, an argument is given which indicates that reasonable perfect-fluid-type solutions which might serve as sources of the Kerr metric may not exist.

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