3 papers
gr-qc2025
Elastic rods and elastic spinning rings as gravitational wave detectors
José Natário, Amol Sasane, Rodrigo Vicente
Linearised relativistic elasticity equations of motion are considered for a rod and a spinning ring encountering a gravitational wave. In the case of the rod, the equations reduce…
gr-qc2025
Relativistic elastic membranes: rotating disks and Dyson spheres
Paulo Mourão, José Natário, Rodrigo Vicente
We derive the equations of motion for relativistic elastic membranes, that is, two-dimensional elastic bodies whose internal energy depends only on their stretching, starting from…
gr-qc2024
Free-falling motion of an elastic rigid rod towards a Schwarzschild black hole
LuÃs Machado, José Natário, Jorge Drumond Silva
We study the motion of an elastic rigid rod which is radially free-falling towards a Schwarzschild black hole. This is accomplished by reducing the corresponding free-boundary PDE…