The interior space-time metric for a rotating spherical star

In summary: A metric for a rotating, slowly rotating star is given by equation (7). In equation (9), the metric is determined by considering the extremum of a trapped null geodesic in the metric.
  • #1
Gravitino
14
0
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 Schwarzschild solution but is there the same for a rotating star? Thanks in advance.
 
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  • #2
Finding the interior solution for something approximating a Kerr Metric is an open problem, as I recall.

Good luck, and keep us informed?
 
  • #3
These references have been passed on to me -

http://arxiv.org/abs/gr-qc/9910001
Michael Bradley, Gyula Fodor, Mattias Marklund, Zoltán Perjés
The Wahlquist metric cannot describe an isolated rotating body

http://arxiv.org/abs/gr-qc/0202065
R. J. Wiltshire
Slowly, rotating non-stationary, fluid solutions of Einstein's equations and their match to Kerr empty space-time

http://arxiv.org/abs/gr-qc/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/gr-qc/0304097
Ron Wiltshire
Slowly rotating, compact fluid sources embedded in Kerr empty space-time

http://arxiv.org/abs/gr-qc/0601024
Ron Wiltshire
Isotropy, shear, symmetry and exact solutions for relativistic fluid spheres

http://arxiv.org/abs/gr-qc/0612046
Michael Bradley, Daniel Eriksson, Gyula Fodor, Istvan Racz
Slowly rotating fluid balls of Petrov type D
 
  • #5
Last edited:

Related to The interior space-time metric for a rotating spherical star

1. What is the interior space-time metric for a rotating spherical star?

The interior space-time metric for a rotating spherical star is a mathematical representation of the curved space-time inside a rotating spherical star.

2. How is the interior space-time metric calculated?

The interior space-time metric is calculated using the Einstein field equations, which relate the curvature of space-time to the distribution of matter and energy within it.

3. What is the significance of the interior space-time metric for a rotating spherical star?

The interior space-time metric helps us understand the gravitational effects of a rotating spherical star, such as the bending of light and the distortion of time.

4. How does the interior space-time metric differ from the exterior space-time metric?

The interior space-time metric takes into account the distribution of matter and energy within the star, while the exterior space-time metric does not. This results in different mathematical expressions for the two metrics.

5. Can the interior space-time metric be used to study other celestial objects?

Yes, the interior space-time metric can be applied to other spherical objects with rotating mass, such as planets and black holes, to study their gravitational effects on space-time.

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