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Note that this particular web page is not peer-reviewed.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!.

 

[Entropia]

Hello,

Calculating the stress energy tensor for a rotating 3D-disc is a complex task that requires knowledge in general relativity and tensor calculus. The stress energy tensor describes the distribution of energy and momentum in a given spacetime, and it is crucial in understanding the effects of gravity and rotation.

To start, you will need to define the metric tensor for your rotating disc. This will involve specifying the spacetime coordinates, the rotation axis, and the angular velocity of the disc. Once you have the metric tensor, you can use the Einstein field equations to calculate the stress energy tensor.

There are various resources available online that can provide you with hints and performed calculations for the stress energy tensor of a rotating disc. Some good places to start include textbooks on general relativity, online lecture notes, and research papers on the topic. You can also consult with a professor or a colleague who has experience in this area for guidance and support.

I hope this helps. Best of luck with your calculations!