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A source of a quasi--spherical space--time: The case for the M--Q solution

L. Herrera·W. Barreto·J. L. Herenández Pastora
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Abstract

We present a physically reasonable source for an static, axially--symmetric solution to the Einstein equations. Arguments are provided, supporting our belief that the exterior space--time produced by such source, describing a quadrupole correction to the Schwarzschild metric, is particularly suitable (among known solutions of the Weyl family) for discussing the properties of quasi--spherical gravitational fields.

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L. Herrera, W. Barreto, J. L. Herenández Pastora. 2004-10-20. A source of a quasi--spherical space--time: The case for the M--Q solution. https://doi.org/10.1007/s10714-005-0073-4

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