A four-dimensional Hooke's law can encompass linear elasticity and inertia

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dc.creatorAntoci, S.
dc.creatorMihich, L.
dc.date1999-06-23
dc.date.accessioned2026-07-07T03:33:17Z
dc.date.available2026-07-07T03:33:17Z
dc.descriptionThe 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.
dc.descriptionAMS LaTeX, 8 pages, Nuovo Cimento B (in press)
dc.identifierhttps://arxiv.org/abs/gr-qc/9906094
dc.identifierhttp://arxiv.org/abs/gr-qc/9906094
dc.identifierNuovo Cim. B114 (1999) 873
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/36558
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleA four-dimensional Hooke's law can encompass linear elasticity and inertia
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