TL;DR
This paper reviews relativistic elasticity theory, derives key elastic parameters from a quadratic Lagrangian, and discusses the optimal Lagrangian for modeling relativistic rigid solids.
Contribution
It introduces a systematic way to compute elastic parameters from a relativistic elastic Lagrangian and evaluates the best Lagrangian for modeling rigid solids in relativity.
Findings
Derived expressions for sound speeds, Poisson ratio, and elastic moduli.
Compared different Lagrangians to identify the most suitable for rigid solids.
Provided a framework for modeling elastic behavior in relativistic contexts.
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.