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Relativistic rotation - How does the energy vary with angular momentum?

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.

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Authorship: Güémez J., Fiolhais M., Fernández L.A.,

Congress: International Conference on Mathematical Modelling in Physical Sciences: IC-MSQUARE (7ª : 2018 : Moscú)

Publisher: Institute of Physics

Publication date: 01/12/2018

No. of pages: 7

Publication type: Conference object

DOI: 10.1088/1742-6596/1141/1/012131

ISSN: 1742-6588,1742-6596

Publication Url: https://doi.org/10.1088/1742-6596/1141/1/012131

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Authorship

JOSE JULIO GÜEMEZ LEDESMA

FIOLHAIS, MANUEL

LUIS ALBERTO FERNANDEZ FERNANDEZ

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