Observational Constraints on the Rastall gravity from Rotation Curves of
  Low Surface Brightness Galaxies
  The Rastall gravity is a modification of Einstein's general relativity, in
which the energy-momentum conservation is not satisfied and depends on the
gradient of the Ricci curvature. It is in dispute whether the Rastall gravity
is equivalent to the general relativity (GR). In this work, we constrain the
theory using the rotation curves of Low Surface Brightness (LSB) spiral
galaxies. Through fitting the rotation curves of LSB galaxies, we obtain the
parameter $\beta$ of the Rastall gravity. The $\beta$ values of LSB galaxies
satisfy Weak Energy Condition (WEC) and Strong Energy Condition(SEC). Combining
the $\beta$ values of type Ia supernovae and gravitational lensing of
elliptical galaxies on the Rastall gravity, we conclude that the Rastall
gravity is equivalent to the general relativity.
