Galactic Dynamics via General Relativity: A Compilation and New Developments

Abstract

We consider the consequences of applying general relativity to the description of the dynamics of a galaxy, given the observed flattened rotation curves. The galaxy is modeled as a stationary axially symmetric pressure-free fluid. In spite of the weak gravitational field and the non-relativistic source velocities, the mathematical system is still seen to be non-linear. It is shown that the rotation curves for various galaxies as examples are consistent with the mass density distributions of the visible matter within essentially flattened disks. This obviates the need for a massive halo of exotic dark matter. We determine that the mass density for the luminous threshold as tracked in the radial direction is $10^{-21.75}$ kg$\cdot$m${}^{-3}$ for these galaxies and conjecture that this will be the case for other galaxies yet to be analyzed. We present a velocity dispersion test to determine the extent, if of any significance, of matter that may lie beyond the visible/HI region. Various comments and criticisms from colleagues are addressed.

35 pages, 13 figures

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• The Present and Future Mass of the Milky Way Halo
• The local density of matter mapped by Hipparcos
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• Galactic dark matter effects from purely geometrical aspects of General Relativity
• Towards a full general relativistic approach to galaxies
• Can General Relativity play a role in galactic dynamics?
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• On the rotation curve of disk galaxies in General Relativity
• General relativistic dynamics applied to the rotation curves of galaxies
• Galactic Dynamics in General Relativity: the Role of Gravitomagnetism
• A tale of analogies: gravitomagnetic effects, rotating sources, observers and all that
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• On the galactic rotation curves problem within an axisymmetric approach
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• The Missing Mass Problem as a Manifestation of GR Contextuality
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• Axisymmetric Solutions to Einstein Field Equations via Integral Transforms
• Distribution functions for a family of general-relativistic Hypervirial models in collisionless regime