Modified gravity theories and dark matter models tested by galactic rotation curves

TL;DR

This paper tests Bose-Einstein condensate dark matter and Randall-Sundrum brane-world theories against galactic rotation curves, deriving analytical velocity profiles and comparing their fit to observed data.

Contribution

It introduces analytical expressions for rotation velocities in both models and evaluates their effectiveness in fitting observed galactic rotation curves.

Findings

Brane-world model fits rotation curves better, especially with flat asymptotic velocities.

Both models successfully fit high and low surface brightness galaxy data.

Analytical velocity expressions facilitate comparison with observations.

Abstract

Bose-Einstein condensate dark matter model and Randall-Sundrum type 2 brane-world theory are tested with galactic rotation curves. Analytical expressions are derived for the rotational velocities of test particles around the galactic center in both cases. The velocity profiles are fitted to the observed rotation curve data of high surface brightness and low surface brightness galaxies. The brane-world model fits better the rotation curves with asymptotically flat behaviour.