A Four-dimensional Hooke’s Law Can Encompass Linear Elasticity and Inertia
نویسنده
چکیده
The question is examined, whether the formally straightforward extension of Hooke’s time-honoured stress-strain relation to the four dimensions of special and of general relativity can make physical sense. The four-dimensional Hooke’s law is found able to account for the inertia of matter; in the flat space, slow motion approximation the field equations for the “displacement” four-vector field ξ can encompass both linear elasticity and inertia. In this limit one just recovers the equations of motion of the classical theory of elasticity.
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