Free-falling motion of an elastic rigid rod towards a Schwarzschild black hole
arXiv:2404.08732 · doi:10.1088/1361-6382/ad7a4a
Abstract
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 problem to a sequence of ODEs, which we integrate numerically. Starting with a rod at rest, we show that it is possible to choose its initial compression profile so that its midpoint falls substantially faster, or slower, than a free-falling particle with the same initial conditions. This seems to be a purely kinematic effect, since on average there is no net transfer of elastic to mechanical energy.
arXiv comment10 pages, 5 figures; v2: more details added, now 12 pages and 7 figures, matches final published version
References in corpus (17)
- The motion of point particles in curved spacetime
- Equation of Motion of Small Bodies in Relativity
- Celestial mechanics of elastic bodies
- Rotating elastic bodies in Einstein gravity
- Dynamical compact elastic bodies in general relativity
- Extended-body motion in black hole spacetimes: What is possible?
- On the motion of a compact elastic body
- Extended-body effects in cosmological spacetimes
- Relativistic elasticity of rigid rods and strings
- Rotating elastic string loops in flat and black hole spacetimes: stability, cosmic censorship and the Penrose process
- "Swimming" versus "swinging" in spacetime
- Vibrating systems in Schwarzschild spacetime: towards new experiments in gravitation?
- Rescuing the concept of swimming in curved spacetime
- Celestial mechanics of elastic bodies II
- The relativistic glider
- How to glide in Schwarzschild spacetime
- Extended body dynamics in general relativity: hyperelastic models