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Herglotz-Noether theorem : ウィキペディア英語版
Herglotz-Noether theorem
The Herglotz-Noether theorem in special relativity, named after Gustav Herglotz and Fritz Noether, restricts the possible linear and rotational motions of a Born-rigid object.
It was pointed out that the motion of the whole rigid body is in general definitely determined by the arbitrarily defined motion of a single point of it. (According to Herglotz, exceptions only take place when the world-lines have constant curvature.) In consequence, a Born rigid body only has three degrees of freedom.
A more recent expression of the Herglotz-Noether theorem states, that rotational rigid motion in
Minkowski space must be a Killing motion.
==References==


抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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