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The interior space-time metric for a rotating spherical star

  1. Feb 8, 2009 #1
    I was looking for a space time metric that describes the INTERIOR of spherically symmetric rotating stars. However, wherever I look it is always the metric for an exterior of "slowly rotating star" (frame dragging effect) or something similar to it but always the metric AROUND the object (exterior). Is there any solution for interior of the star? I know already the interior Schwarzchild solution but is there the same for a rotating star? Thanks in advance.
  2. jcsd
  3. Feb 9, 2009 #2
    Finding the interior solution for something approximating a Kerr Metric is an open problem, as I recall.

    Good luck, and keep us informed?
  4. Feb 9, 2009 #3


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    Gold Member

    These references have been passed on to me -

    Michael Bradley, Gyula Fodor, Mattias Marklund, Zoltán Perjés
    The Wahlquist metric cannot describe an isolated rotating body

    R. J. Wiltshire
    Slowly, rotating non-stationary, fluid solutions of Einstein's equations and their match to Kerr empty space-time

    Gyula Fodor, Zolt{á}n Perj{é}s, Michael Bradley
    Slowly rotating charged fluid balls and their matching to an exterior domain

    Ron Wiltshire
    Slowly rotating, compact fluid sources embedded in Kerr empty space-time

    Ron Wiltshire
    Isotropy, shear, symmetry and exact solutions for relativistic fluid spheres

    Michael Bradley, Daniel Eriksson, Gyula Fodor, Istvan Racz
    Slowly rotating fluid balls of Petrov type D
  5. Apr 24, 2009 #4
    Last edited: Apr 24, 2009
  6. Apr 27, 2009 #5
    There's a typo in the above paper, qm/r0 in equations (7) and (9) should read 9m/r0 which is clarified on page 719 in the following extract from 'GR & Gravitation'-

    'Trapped Null Geodesics in a Rotating Interior Metric' by P. Collas and J. K. Lawrence
    http://www.csun.edu/~vcphy00d/PDFPublications/1976 Collas-Lawrence.pdf
    Last edited: Apr 27, 2009
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