Born rigidity is a concept in the field of relativistic physics, particularly in the context of special relativity. It refers to the idea of an object's ability to maintain its shape and size while moving through spacetime without undergoing any deformation due to relativistic effects. The term comes from the work of Hermann Minkowski and is named after Max Born, who contributed significantly to the understanding of the topic.
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Motion preserving local proper distances measured on instantaneous comoving simultaneity slices. It constrains the acceleration of different points of a body, rather than describing an infinitely fast material signal. For rectilinear positive acceleration, the front of an extended Born-rigid body accelerates less strongly than its rear.