A Simple Model for The Flattening of Galaxies Rotation Curves Due to Local Effects of the Universe Expansion as Described by the ELA metric

Astronomy and Astrophysics – Astrophysics – Cosmology and Extragalactic Astrophysics

Scientific paper

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7 pages; 1 figure; 1 table

Scientific paper

Are discussed possible generalizations for many body systems of the recently suggested Expanding Locally Anisotropic (ELA) metric ansatz which describes local point-like matter distributions in the expanding universe. Considering a series expansion of the functional parameter of this metric to second order in the gravitational field it is developed a simple lattice model for galaxies based in the thin exponential disk approximation. As an example it is modeled the large galaxy UGC2885 and it is shown that, by fitting the values of the metric parameters, the flattening of the galaxy rotation curve is fully described by the ELA metric. The framework presented here clearly allows to theoretically test new gravitational interactions maintaining compatibility with both local physics and cosmological universe expansion.

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