2023/08/31 by Santanu Das, Das, Santanu
Physics and Astronomy · #Astronomy and Astrophysical Research #Astrophysics of Galaxies (astro-ph.GA) #Cosmology and Gravitation Theories #Cosmology and Nongalactic Astrophysics (astro-ph.CO) #FOS: Physical sciences #Galaxies: Formation, Evolution, Phenomena #General Relativity and Quantum Cosmology (gr-qc)
paper · pdf · doi:10.48550/arxiv.2309.00057
openalex publication_date 2023/08/31 · openalex created_date 2023/09/05 · openalex updated_date 2026/07/28
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/s2.