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

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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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Authors and Affiliations

  1. Escuela de Física, Facultad de Ciencias, Universidad Central de Venezuela, Apartado Postal 80793, Caracas 1080, Venezuela

    L. Herrera

  2. Centro de Fí sica Fundamental, Departamento de Fí sica, Facultad de Ciencias, Universidad de los Andes, Mérida, Venezuela

    W. Barreto

  3. Departamento de Matemática Aplicada. E.T.S.I.I de Béjar, Universidad de Salamanca, Avda. Fernando Ballesteros, s/n 37700 Béjar, Salamanca, España

    J. L. Hernández Pastora

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  1. L. Herrera
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  2. W. Barreto
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  3. J. L. Hernández Pastora
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Correspondence to W. Barreto.

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Herrera, L., Barreto, W. & Pastora, J.L.H. A source of a quasi-spherical space–time: The case for the M–Q solution. Gen Relativ Gravit 37, 873–890 (2005). https://doi.org/10.1007/s10714-005-0073-4

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  • DOI: https://doi.org/10.1007/s10714-005-0073-4

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