Generalized Carter constant for quadrupolar test bodies in Kerr spacetime
We establish the existence of a deformation of the usual Carter constant which is conserved along the motion in a fixed Kerr background of a spinning test body possessing the spin-induced quadrupole coupling of a black hole. The conservation holds perturbatively up to second order in the test body&#...
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| Format: | Article |
| Language: | English |
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SciPost
2023-12-01
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| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.15.6.226 |
| _version_ | 1797402842654310400 |
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| author | Geoffrey Compère, Adrien Druart, Justin Vines |
| author_facet | Geoffrey Compère, Adrien Druart, Justin Vines |
| author_sort | Geoffrey Compère, Adrien Druart, Justin Vines |
| collection | DOAJ |
| description | We establish the existence of a deformation of the usual Carter constant which is conserved along the motion in a fixed Kerr background of a spinning test body possessing the spin-induced quadrupole coupling of a black hole. The conservation holds perturbatively up to second order in the test body's spin. This constant of motion is obtained through the explicit resolution of the conservation constraint equations, employing covariant algebraic and differential relations amongst covariant building blocks of the Kerr background. For generic spin-induced quadrupole couplings, which describe compact objects such as neutron stars, we obtain a no-go result on the existence of such a conserved quantity. |
| first_indexed | 2024-03-09T02:31:02Z |
| format | Article |
| id | doaj.art-e185c1f6b89a4eaa8afcf67da4bf5ae8 |
| institution | Directory Open Access Journal |
| issn | 2542-4653 |
| language | English |
| last_indexed | 2024-03-09T02:31:02Z |
| publishDate | 2023-12-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics |
| spelling | doaj.art-e185c1f6b89a4eaa8afcf67da4bf5ae82023-12-06T15:27:06ZengSciPostSciPost Physics2542-46532023-12-0115622610.21468/SciPostPhys.15.6.226Generalized Carter constant for quadrupolar test bodies in Kerr spacetimeGeoffrey Compère, Adrien Druart, Justin VinesWe establish the existence of a deformation of the usual Carter constant which is conserved along the motion in a fixed Kerr background of a spinning test body possessing the spin-induced quadrupole coupling of a black hole. The conservation holds perturbatively up to second order in the test body's spin. This constant of motion is obtained through the explicit resolution of the conservation constraint equations, employing covariant algebraic and differential relations amongst covariant building blocks of the Kerr background. For generic spin-induced quadrupole couplings, which describe compact objects such as neutron stars, we obtain a no-go result on the existence of such a conserved quantity.https://scipost.org/SciPostPhys.15.6.226 |
| spellingShingle | Geoffrey Compère, Adrien Druart, Justin Vines Generalized Carter constant for quadrupolar test bodies in Kerr spacetime SciPost Physics |
| title | Generalized Carter constant for quadrupolar test bodies in Kerr spacetime |
| title_full | Generalized Carter constant for quadrupolar test bodies in Kerr spacetime |
| title_fullStr | Generalized Carter constant for quadrupolar test bodies in Kerr spacetime |
| title_full_unstemmed | Generalized Carter constant for quadrupolar test bodies in Kerr spacetime |
| title_short | Generalized Carter constant for quadrupolar test bodies in Kerr spacetime |
| title_sort | generalized carter constant for quadrupolar test bodies in kerr spacetime |
| url | https://scipost.org/SciPostPhys.15.6.226 |
| work_keys_str_mv | AT geoffreycompereadriendruartjustinvines generalizedcarterconstantforquadrupolartestbodiesinkerrspacetime |