Elasticity and electro-magneto-elasticity of general-relativistic systems

Astronomy and Astrophysics – Astrophysics

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Continuum Mechanics, Elastic Deformation, Electrodynamics, Gravitational Effects, Relativity, Astrophysics, Gravitational Wave Antennas, Magnetostriction, Space-Time Functions, Thermoelasticity, Wave Propagation

Scientific paper

This essay aims at demonstrating the interest for a genuine continuum mechanics and, more restrictively, elasticity of general-relativistic systems in cases where the Einsteinian gravitational picture cannot be deleted, e.g., in 'elastic' gravitational-wave detectors and in the study of elastic oscillations of solid stars. The same foundations, constitutive theory, and methodology (superimposition of perturbations on finite initial states) apply to both cases, which also demand a generalization to comprehend electrodynamical-mechanical couplings, electroelasticity in the first case (use of piezoelectricity), and magnetoelasticity in the second case (presence of extremely intense magnetic fields).

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