Machian Gravity: Modeling Rotation Curves and Radial Acceleration in the SPARC Galaxy Sample
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arXiv
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866912807045300224 |
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| author | Das, Santanu |
| author_facet | Das, Santanu |
| contents | This paper investigates the potential of Machian Gravity (MG), a five-dimensional theory of gravity, to explain the acceleration law governing rotationally bound systems, in particular spiral galaxies. MG was proposed as a framework capable of accounting for a range of astrophysical and cosmological phenomena -- including galactic rotation curves, mass distributions in galaxy clusters, and cosmic expansion -- without invoking additional dark components. In this study, we apply the MG acceleration law to a large sample of galaxies drawn from the SPARC database. Through a detailed analysis, we determine the optimal MG parameters for each individual galaxy, successfully fitting their observed rotation curves. Similar to Modified Newtonian Dynamics (MOND), our results indicate the existence of a characteristic acceleration scale associated with galactic dynamics, which regulates rotational behavior in the outer regions. Notably, this acceleration scale varies from galaxy to galaxy, but typically remains of order $10^{-8} {\rm cm/s^2}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_00057 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Machian Gravity: Modeling Rotation Curves and Radial Acceleration in the SPARC Galaxy Sample Das, Santanu Cosmology and Nongalactic Astrophysics Astrophysics of Galaxies General Relativity and Quantum Cosmology This paper investigates the potential of Machian Gravity (MG), a five-dimensional theory of gravity, to explain the acceleration law governing rotationally bound systems, in particular spiral galaxies. MG was proposed as a framework capable of accounting for a range of astrophysical and cosmological phenomena -- including galactic rotation curves, mass distributions in galaxy clusters, and cosmic expansion -- without invoking additional dark components. In this study, we apply the MG acceleration law to a large sample of galaxies drawn from the SPARC database. Through a detailed analysis, we determine the optimal MG parameters for each individual galaxy, successfully fitting their observed rotation curves. Similar to Modified Newtonian Dynamics (MOND), our results indicate the existence of a characteristic acceleration scale associated with galactic dynamics, which regulates rotational behavior in the outer regions. Notably, this acceleration scale varies from galaxy to galaxy, but typically remains of order $10^{-8} {\rm cm/s^2}$. |
| title | Machian Gravity: Modeling Rotation Curves and Radial Acceleration in the SPARC Galaxy Sample |
| topic | Cosmology and Nongalactic Astrophysics Astrophysics of Galaxies General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2309.00057 |