The κ-model under test of the SPARC database
Résumé
Our main goal is here to make a comparative analysis between the well-known MOND theory and a more recent model called
κ-model. An additional connection, between the κ-model and two
other novel MOND-type theories: Newtonian Fractional-Dimension
Gravity (NFDG) and Refracted Gravity (RG), is likewise presented.
All these models are built to overtake the DM paradigm, or at least
to strongly reduce the dark matter content. Whereas they rely on
different formalisms, however, all four seem to suggest that the universal parameter, a0, appearing in MOND theory could intrinsically
be correlated to either the sole baryonic mean mass density (RG and
κ-model) and/or to the dimension of the object under consideration
(NFDG and κ-model). We could then confer to the parameter a0 a
more flexible status of multiscale parameter, as required to explain
the dynamics together in galaxies and in galaxy clusters. Eventually,
the conformal gravity theory (CFT) also seems to have some remote
link with the κ-model, even though the first one is an extension of
general relativity, and the second one is Newtonian in essence. The
κ-model has been tested on a small sample of spiral galaxies and in
galaxy clusters. Now we test this model on a large sample of galaxies
issued from the SPARC database.
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