Innermost Stable Circular Orbits of a Kerr-like Metric with Quadrupole
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , , , |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866929690435911680 |
|---|---|
| author | Chaverri-Miranda, Fabián Frutos-Alfaro, Francisco Solano-Alfaro, Diego Gómez-Ovares, Pedro Oliva, André |
| author_facet | Chaverri-Miranda, Fabián Frutos-Alfaro, Francisco Solano-Alfaro, Diego Gómez-Ovares, Pedro Oliva, André |
| contents | This paper presents results for the innermost stable circular orbit in a Kerr-like spacetime. The metric employed is an approximation that combines the Kerr metric with the Erez-Rosen metric, expanded in a Taylor series. Consequently, this spacetime incorporates three relativistic multipole moments: mass, spin, and quadrupole moment. Our derivation builds upon the analysis conducted by Chandrasekhar for the Kerr metric. Utilizing the Euler-Lagrange method and Hamiltonian dynamics, we define an effective potential for the radial coordinate. This equation can be used to measure the mass quadrupole through observational methods, as it yields a quadratic polynomial for the quadrupole moment. As anticipated, the limiting cases of this equation correspond to the established cases of Kerr and Schwarzschild spacetimes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_17283 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Innermost Stable Circular Orbits of a Kerr-like Metric with Quadrupole Chaverri-Miranda, Fabián Frutos-Alfaro, Francisco Solano-Alfaro, Diego Gómez-Ovares, Pedro Oliva, André General Relativity and Quantum Cosmology Cosmology and Nongalactic Astrophysics This paper presents results for the innermost stable circular orbit in a Kerr-like spacetime. The metric employed is an approximation that combines the Kerr metric with the Erez-Rosen metric, expanded in a Taylor series. Consequently, this spacetime incorporates three relativistic multipole moments: mass, spin, and quadrupole moment. Our derivation builds upon the analysis conducted by Chandrasekhar for the Kerr metric. Utilizing the Euler-Lagrange method and Hamiltonian dynamics, we define an effective potential for the radial coordinate. This equation can be used to measure the mass quadrupole through observational methods, as it yields a quadratic polynomial for the quadrupole moment. As anticipated, the limiting cases of this equation correspond to the established cases of Kerr and Schwarzschild spacetimes. |
| title | Innermost Stable Circular Orbits of a Kerr-like Metric with Quadrupole |
| topic | General Relativity and Quantum Cosmology Cosmology and Nongalactic Astrophysics |
| url | https://arxiv.org/abs/2501.17283 |