The general relativistic theory of elasticity is reviewed from a Lagrangian, as opposed to Eulerian, perspective. equations motion and stress-energy-momentum tensor for hyperelastic body are derived the gauge-invariant action principle first considered by DeWitt. This natural extension single particle. central object in Lagrangian treatment Landau-Lifshitz radar metric, which version right Cauc...

2 Kinematics 12 2.1 Geometric interpretation of the deformation gradient . . . . . . . . . . . . . . . . . . 12 2.2 Small strain and linearization . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 2.3 Transformations of a deformation gradient . . . . . . . . . . . . . . . . . . . . . . . . 14 2.4 Compatibility conditions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ....