Srivastava, Y., Immirzi, G., Swain, J., Panella, O. and Pacetti, S. (2022) General Relativity versus Dark Matter for Rotating Galaxies. (Submitted for Publication)

has been cited by the following article:

• TITLE: General Relativity and the Tully-Fisher Relation for Rotating Galaxies

  AUTHORS: Yogendra Srivastava, Giorgio Immirzi, John Swain, Orlando Panella, Simone Pacetti

  KEYWORDS: GR, Weyl Metric, Rotating Galaxies, Flat Rotation Curves, TF Relation

  JOURNAL NAME: Journal of Modern Physics, Vol.13 No.11, November 28, 2022

  ABSTRACT: The flat limit of rotational velocity (vφ) approximately equal to the “edge”-velocity of a galaxy is related to the baryonic mass (MB) via the T-F relationship with n ≈ 4. We explore the connection between mass and the limiting velocity in the framework of general relativity (GR) using the Weyl metric for axially-symmetric galaxies that are supported entirely by their rotational motion. While for small distances from the center, the Newtonian description is accurate as one moves beyond the (baryonic) edge of the galaxy, Lenz’s law and non-linearity of the gravitational field inherent in GR not only lead to a flat velocity (obviating its Keplerian fall), but also provide its tight log-log relationship with the enclosed (baryonic) mass.