Inequality between size and angular momentum for bodies

Sergio Dain

Published 2013-05-28, updated 2014-01-31Version 2

A universal inequality that bounds the angular momentum of a body by the square of its size is presented and heuristic physical arguments are given to support it. We prove a version of this inequality, as consequence of Einstein equations, for the case of rotating axially symmetric, constant density, bodies. Finally, the physical relevance of this result is discussed.