Free-falling motion of an elastic rigid rod towards a Schwarzschild black hole
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arXiv
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| Format: | Preprint |
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2024
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| author | Machado, Luís Natário, José Silva, Jorge Drumond |
| author_facet | Machado, Luís Natário, José Silva, Jorge Drumond |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_08732 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Free-falling motion of an elastic rigid rod towards a Schwarzschild black hole Machado, Luís Natário, José Silva, Jorge Drumond General Relativity and Quantum Cosmology 74K10, 83C55, 83C57 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. |
| title | Free-falling motion of an elastic rigid rod towards a Schwarzschild black hole |
| topic | General Relativity and Quantum Cosmology 74K10, 83C55, 83C57 |
| url | https://arxiv.org/abs/2404.08732 |