Question

Relativistic rotational squeezing?

Answer 1

Relativistic rotational squeezing?



I would like to consider a sphere rotating at very high angular speeds, such that the speed in its equator would be relativistic.

This is very similar to Ehrenfest paradox situation, except that here is a sphere.

This situation could occur, I imagine, if when an exploding star is sufficiently big to leave a core, this core would have an angular momentum be it from reduction of radius which would increase it, be it from stirring from the explosion. The thing is, its value could be very high, such that it could reach a relativistic regime.

However I am not very concerned on the actual occurrence of this phenomenon not yet, but rather with an effect I am imagining could occur but which I would like to consult before considering it seriously and get into the mathematics.

The question: Can relativistic rotation further squeeze this core? If we imagine it was left with certain angular momentum and equatorial radius such that classically it would exceed light speed, this would imply either there would be a constriction on the radius of the remaining core, either the core would squeeze in the equator and take a shape with the same momentum but not exceeding c in its equator.