Relativistic Elasticity

Schmidt, Bernd G.; Beig, Robert

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Relativistic Elasticity

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Schmidt, Bernd G.
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Schmidt, B. G., & Beig, R. (2003). Relativistic Elasticity. Classical and Quantum Gravity, 20(5), 889-904.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-5242-C

Abstract

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 non-relativistic limit . 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