Facultad de Matemática, Astronomía y Física, FaMAF, Universidad Nacional de Córdoba, Instituto de Física Enrique Gaviola, IFEG, CONICET, Ciudad Universitaria (5000) Córdoba, Argentina.
Phys Rev Lett. 2014 Jan 31;112(4):041101. doi: 10.1103/PhysRevLett.112.041101. Epub 2014 Jan 27.
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 the Einstein equations, for the case of rotating axially symmetric, constant density, bodies. Finally, the physical relevance of this result is discussed.
本文提出了一个普遍的不等式,该不等式通过物体的大小的平方来限制其角动量,并给出了支持它的启发式物理论据。我们证明了这个不等式的一个版本,作为爱因斯坦方程的推论,用于旋转轴对称、恒定密度的物体的情况。最后,讨论了这个结果的物理意义。