Born rigidity

Born rigidity

Born rigidity, proposed by and later named after Max Born, is a concept in special relativity. It is one answer to the question of what, in special relativity, corresponds to the rigid body of non-relativistic classical mechanics.

The defining property of Born rigidity is locally constant distance in the co-moving frame for all points of the body in question. It is a very restrictive sense of rigidity; for example, it is impossible to put a disk into rotation while maintaining its Born rigidity. Several weaker substitutes have been proposed as rigidity conditions.

Note that Born rigidity is a constraint on the motion of an extended body, achieved by careful application of forces to different parts of the body. A body rigid in itself would violate special relativity, as its speed of sound would be infinite.

ee also

References

*Max Born, "Einstein's Theory of Relativity", Dover Publications 1962, ISBN 0-486-60769-0
*Wolfgang Pauli, "Theory of Relativity", Dover Publications 1981, ISBN 0-486-64152-X

External links

* [http://www.mathpages.com/home/kmath422/kmath422.htm Born Rigidity, Acceleration, and Inertia] at mathpages.com
* [http://math.ucr.edu/home/baez/physics/Relativity/SR/rigid_disk.html The Rigid Rotating Disk in Relativity] in the USENET Physics FAQ


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