Observational Constraints on the Rastall gravity from Rotation Curves of Low Surface Brightness Galaxies

Abstract

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.

arXiv comment4 pages

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Cited by in corpus (7)

• Quasinormal Modes of Black Holes with Non-Linear-Electrodynamic sources in Rastall Gravity
• Quasinormal Modes and Greybody factors of de Sitter Black holes surrounded by Quintessence in Rastall gravity
• Quasinormal modes, temperatures and greybody factors of black holes in a generalized Rastall gravity theory
• The galaxy rotation curves in the $f(R,T)$ modified gravity formalism
• Cosmological fluids in the equivalence between Rastall and Einstein gravity
• Thick brane in Rastall gravity
• Effects of Rastall parameter on perturbation of dark sectors of the Universe