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The interior spacetime metric for a rotating spherical star 
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#1
Feb809, 04:31 PM

P: 14

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
Feb909, 01:51 PM

P: 242

Finding the interior solution for something approximating a Kerr Metric is an open problem, as I recall.
Good luck, and keep us informed? 


#3
Feb909, 05:43 PM

PF Gold
P: 4,087

These references have been passed on to me 
http://arxiv.org/abs/grqc/9910001 Michael Bradley, Gyula Fodor, Mattias Marklund, Zoltán Perjés The Wahlquist metric cannot describe an isolated rotating body http://arxiv.org/abs/grqc/0202065 R. J. Wiltshire Slowly, rotating nonstationary, fluid solutions of Einstein's equations and their match to Kerr empty spacetime http://arxiv.org/abs/grqc/0207099 Gyula Fodor, Zolt{á}n Perj{é}s, Michael Bradley Slowly rotating charged fluid balls and their matching to an exterior domain http://arxiv.org/abs/grqc/0304097 Ron Wiltshire Slowly rotating, compact fluid sources embedded in Kerr empty spacetime http://arxiv.org/abs/grqc/0601024 Ron Wiltshire Isotropy, shear, symmetry and exact solutions for relativistic fluid spheres http://arxiv.org/abs/grqc/0612046 Michael Bradley, Daniel Eriksson, Gyula Fodor, Istvan Racz Slowly rotating fluid balls of Petrov type D 


#4
Apr2409, 06:36 AM

P: 608

The interior spacetime metric for a rotating spherical star
It's fairly old but looks relevant
'Simple Tests for Proposed Interior Metrics' by P. Collas http://www.csun.edu/~vcphy00d/PDFPub...as%20tests.pdf 


#5
Apr2709, 02:02 AM

P: 608

There's a typo in the above paper, qm/r_{0} in equations (7) and (9) should read 9m/r_{0} 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/%7Evcphy00d/PDFP...sLawrence.pdf 


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