2019/04/08 by J. Klačka, Klačka, Jozef
Computer Science · Physics and Astronomy · #Astrophysics of Galaxies (astro-ph.GA) #Computational Physics and Python Applications #Cosmology and Nongalactic Astrophysics (astro-ph.CO) #FOS: Physical sciences #Galaxies: Formation, Evolution, Phenomena #Gamma-ray bursts and supernovae
paper · pdf · doi:10.48550/arxiv.1904.04074
openalex publication_date 2019/04/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The classical gravitational two-body problem is generalized in order to be applicable also to weak gravitational fields. The equation of motion holds both for terrestrial and large cosmic scales, the Newtonian gravitational law represents a mathematical limit of the generalized form. Motivation comes from observational results on rotation curves of galaxies. Existence of a dark matter is not assumed. The crucial laws of physics hold and also the potential energy of the system is symmetric with respect to masses of the two bodies. Shortcomings of the results published for decades, including MOND theories and false-yet-familiar approaches, are overcome. The impact on searching for a fundamental physical theory is stressed. Some of the conventional ideas of the past centuries do not hold for the zone of small accelerations, e.g., the principle of least action using the Lagrangian density of potentials and fields does not work. We may look forward to great changes in our understanding of the evolution of the Universe.