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HYPOTHESIS AND THEORY article

Front. Astron. Space Sci.
Sec. Cosmology
Volume 11 - 2024 | doi: 10.3389/fspas.2024.1429235
This article is part of the Research Topic Scalar Fields and the Dark Universe View all 4 articles

A Machian model as potential alternative to dark matter halo thesis in galactic rotational velocity prediction

Provisionally accepted
Stephan Walrand Stephan Walrand *
  • Université Catholique de Louvain, Louvain-la-Neuve, Belgium

The final, formatted version of the article will be published soon.

    A novel axially symmetric metric is proposed to solve the Einstein field equations. This provides an analytical solution within the matter in the equatorial plane for any galaxy density profile. The solution predicts the observed increase in rotational velocity up to the edge of the galaxy's bulge. However, beyond the bulge, the rotational velocity remains constant, which contradicts the observed peak curves. The existence of the universe is then considered by approximating the gravitational fields within the galaxy as the sum of those generated by the galaxy and the universe. The resulting solution explicitly includes a universe frame-dragging term, aligning with the sixth version of Mach's principle proposed by Bondi and Samuel: "inertial mass is affected by the global distribution of matter". Neglecting the presence of the universe, stars only have a relative rotation to the bulge, and their rotational velocities monotonically increase with the radial distance r to balance the increasing mass contained in distances

    Keywords: Gravitation, galaxy dynamics, dark matter, general relativity, Mach's principle

    Received: 07 May 2024; Accepted: 03 Jul 2024.

    Copyright: © 2024 Walrand. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.

    * Correspondence: Stephan Walrand, Université Catholique de Louvain, Louvain-la-Neuve, Belgium

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