Relativistic Elasticity
نویسندگان
چکیده
Relativistic elasticity on an arbitrary spacetime is formulated as a Lagrangian field theory which is covariant under spacetime diffeomorphisms. This theory is the relativistic version of classical elasticity in the hyperelastic, materially frame-indifferent case and, on Minkowski space, reduces to the latter in the limit c → ∞. The field equations are cast into a first – order symmetric hyperbolic system. As a consequence one obtains local–in–time existence and uniqueness theorems under various circumstances. Keyword: elasticity, general relativity
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X iv : g r - qc / 0 21 10 54 v 1 1 4 N ov 2 00 2 Relativistic Elasticity
Relativistic elasticity on an arbitrary spacetime is formulated as a Lagrangian field theory which is covariant under spacetime diffeomorphisms. This theory is the relativistic version of classical elasticity in the hyperelastic, materially frame-indifferent case and, on Minkowski space, reduces to the latter in the limit c → ∞. The field equations are cast into a first – order symmetric hyperb...
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