Khronometric Theories of Modified Newtonian Dynamics
In 2011 Blanchet and Marsat suggested a fully relativistic version of Milgrom's modified Newtonian dynamics in which the dynamical degrees of freedom consist of the spacetime metric and a foliation of spacetime, the khronon field. This theory is simpler than the alternative relativistic formula...
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| Format: | Article |
| Language: | English |
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IOP Publishing
2023-01-01
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| Series: | The Astrophysical Journal |
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| Online Access: | https://doi.org/10.3847/1538-4357/ad003d |
| _version_ | 1827761531925823488 |
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| author | Éanna. É. Flanagan |
| author_facet | Éanna. É. Flanagan |
| author_sort | Éanna. É. Flanagan |
| collection | DOAJ |
| description | In 2011 Blanchet and Marsat suggested a fully relativistic version of Milgrom's modified Newtonian dynamics in which the dynamical degrees of freedom consist of the spacetime metric and a foliation of spacetime, the khronon field. This theory is simpler than the alternative relativistic formulations. We show that the theory has a consistent nonrelativistic or slow-motion limit. Blanchet and Marsat showed that in the slow motion limit, the theory reproduces stationary solutions of modified Newtonian dynamics. We show that these solutions are stable to khronon perturbations in the low acceleration regime, for the cases of spherical, cylindrical, and planar symmetry. For nonstationary systems in the low acceleration regime, we show that the khronon field generally gives an order unity correction to the modified Newtonian dynamics. In particular, there will be an order unity correction to the MOND version of Kepler's third law, potentially relevant to ongoing efforts to test MOND using GAIA observations of wide binaries. |
| first_indexed | 2024-03-11T10:14:13Z |
| format | Article |
| id | doaj.art-daa25236b75e484caeadfe2b67d4cf7b |
| institution | Directory Open Access Journal |
| issn | 1538-4357 |
| language | English |
| last_indexed | 2024-03-11T10:14:13Z |
| publishDate | 2023-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | The Astrophysical Journal |
| spelling | doaj.art-daa25236b75e484caeadfe2b67d4cf7b2023-11-16T11:56:41ZengIOP PublishingThe Astrophysical Journal1538-43572023-01-01958210710.3847/1538-4357/ad003dKhronometric Theories of Modified Newtonian DynamicsÉanna. É. Flanagan0https://orcid.org/0000-0001-6818-3550Department of Physics, Cornell University , Ithaca, NY 14853, USAIn 2011 Blanchet and Marsat suggested a fully relativistic version of Milgrom's modified Newtonian dynamics in which the dynamical degrees of freedom consist of the spacetime metric and a foliation of spacetime, the khronon field. This theory is simpler than the alternative relativistic formulations. We show that the theory has a consistent nonrelativistic or slow-motion limit. Blanchet and Marsat showed that in the slow motion limit, the theory reproduces stationary solutions of modified Newtonian dynamics. We show that these solutions are stable to khronon perturbations in the low acceleration regime, for the cases of spherical, cylindrical, and planar symmetry. For nonstationary systems in the low acceleration regime, we show that the khronon field generally gives an order unity correction to the modified Newtonian dynamics. In particular, there will be an order unity correction to the MOND version of Kepler's third law, potentially relevant to ongoing efforts to test MOND using GAIA observations of wide binaries.https://doi.org/10.3847/1538-4357/ad003dDark matterGalaxy structureNon-standard theories of gravity |
| spellingShingle | Éanna. É. Flanagan Khronometric Theories of Modified Newtonian Dynamics The Astrophysical Journal Dark matter Galaxy structure Non-standard theories of gravity |
| title | Khronometric Theories of Modified Newtonian Dynamics |
| title_full | Khronometric Theories of Modified Newtonian Dynamics |
| title_fullStr | Khronometric Theories of Modified Newtonian Dynamics |
| title_full_unstemmed | Khronometric Theories of Modified Newtonian Dynamics |
| title_short | Khronometric Theories of Modified Newtonian Dynamics |
| title_sort | khronometric theories of modified newtonian dynamics |
| topic | Dark matter Galaxy structure Non-standard theories of gravity |
| url | https://doi.org/10.3847/1538-4357/ad003d |
| work_keys_str_mv | AT eannaeflanagan khronometrictheoriesofmodifiednewtoniandynamics |