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Relativistic rotation — how does the energy vary with angular momentum?
Authors: J. Güémez, M. Fiolhais, L.A. Fernández
Ref.: Journal of Physics: Conf. Series (IOP) 1141, 012131-(7pp) (2018)
Abstract: A theorem in relativistic mechanics, establishing the relation between the variation of the rotational energy with the angular momentum variation, is derived. The theorem has a counterpart for relativistic translations. On the other hand, it also has a counterpart in non-relativistic rotational mechanics. Interestingly enough, to the best of our knowledge, that relation has never been presented in articles or textbooks. We discuss the relativistic rotation of a ring to illustrate how rotational dynamics works and to show the usefulness of the above mentioned theorem.
