English

Rigid elastic solids in relativity

General Relativity and Quantum Cosmology 2020-12-02 v2

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.

Keywords

Cite

@article{arxiv.1912.08221,
  title  = {Rigid elastic solids in relativity},
  author = {José Natário},
  journal= {arXiv preprint arXiv:1912.08221},
  year   = {2020}
}

Comments

23 pages, 1 figure; v2: minor editing to increase clarity

R2 v1 2026-06-23T12:48:55.033Z