Stress energy tensor for rotating disc

[luxio]

Hi, i need calculate the stress energy tensor for rotating 3D-disc in arbitrary rotation.
where i can find some hint or perfomed calculations?
thank you

 

[pervect]

You'll need to make additional assumptions about the disk to come up with a stress-energy tensor. Using a set of assumptions know as the hyperelastic model, Greg Egan discusses this problem in http://www.gregegan.net/SCIENCE/Rings/Rings.html.

Note that this particular web page is not peer-reviewed. However, it is the best information I'm aware of on this particular problem.

Note that the hyperelastic model does have some limitations as to acceptable parameters. Without care to restrict the parameters to acceptable values, the model can fail to the point where the equations of motion don't even have solutions!.