Extending Hamiltonian Formulation of Particle Motion in Perturbed Kerr Spacetime to various time parameterizations
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866909372029861888 |
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| author | Kakehi, Takafumi Tanaka, Takahiro |
| author_facet | Kakehi, Takafumi Tanaka, Takahiro |
| contents | The Hamiltonian formulation with action-angle variables is very useful when considering the motion of particles undergoing a self-force reaction due to gravitational wave emission. Using the proper time as a parameter along the trajectory is considered to be appropriate when developing formal arguments, but these arguments can easily be extended to arguments with other time variables. The aim of this paper is to clarify the relations between the schemes with various parameterizations of the orbit. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_22858 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Extending Hamiltonian Formulation of Particle Motion in Perturbed Kerr Spacetime to various time parameterizations Kakehi, Takafumi Tanaka, Takahiro General Relativity and Quantum Cosmology The Hamiltonian formulation with action-angle variables is very useful when considering the motion of particles undergoing a self-force reaction due to gravitational wave emission. Using the proper time as a parameter along the trajectory is considered to be appropriate when developing formal arguments, but these arguments can easily be extended to arguments with other time variables. The aim of this paper is to clarify the relations between the schemes with various parameterizations of the orbit. |
| title | Extending Hamiltonian Formulation of Particle Motion in Perturbed Kerr Spacetime to various time parameterizations |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2410.22858 |