Rigid elastic solids in relativity
arXiv:1912.08221 · doi:10.1088/1361-6382/abbd10
Abstract
After briefly reviewing the theory of relativistic elasticity, we expand a general elastic Lagrangian to quadratic order and compute the main parameters for the linear elasticity of relativistic solids: the longitudinal and transverse speeds of sound, the Poisson ratio, and the bulk, shear and Young moduli. Using these, we discuss which Lagrangian is the best choice to model a relativistic rigid elastic solid.
23 pages, 1 figure; v2: minor editing to increase clarity
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