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A four-dimensional Hooke's law can encompass linear elasticity and inertia | | S. Antoci
; L. Mihich
; | | Date: |
23 Jun 1999 | | Journal: | Nuovo Cim. B114 (1999) 873 | | Subject: | gr-qc | | Abstract: | 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 can encompass both linear elasticity and inertia. In this limit one just recovers the equations of motion of the classical theory of elasticity. | | Source: | arXiv, gr-qc/9906094 | | Services: | Forum | Review | PDF | Favorites | |
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