Hello, I have seen more than often discussions about accelerated rods, or spinning disks in relativity. It is clear that the definition of a rigid body in relativity makes problem. I wonder if there are some books or papers giving a complete theory for relativistic elasticity. I have seen here and there elements of hydrodynamics or ideal fluids models or collapsing star models. For something closer to a rigid body, is there anything to read? Or is it a dream? (°) Michel (°) May well be a dream. If the strain is low enough it is maybe possible to find a frame where relativistic effects disappear. If the strain is high, the material would break anyway and an ideal fluid model would be appropriate!