Observational constraints on Rastall gravity from rotation curves of low surface brightness galaxies

• 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 currently in dispute whether Rastall gravity is equivalent to general relativity (GR). In this work, we constrain the theory using the rotation curves of low surface brightness (LSB) spiral galaxies. By fitting the rotation curves of LSB galaxies, we obtain parameter $\beta$ of the Rastall gravity. The $\beta$ values of LSB galaxies satisfy the weak energy condition (WEC) and strong energy condition (SEC). Combining the $\beta$ values of type Ia supernovae and the gravitational lensing of elliptical galaxies on Rastall gravity, we conclude that Rastall gravity may be equivalent to general relativity.
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Meirong Tang, Zhaoyi Xu and Jiancheng Wang. Observational Constraints on the Rastall gravity from Rotation Curves of Low Surface Brightness Galaxies[J]. Chinese Physics C. doi: 10.1088/1674-1137/44/8/085104
Meirong Tang, Zhaoyi Xu and Jiancheng Wang. Observational Constraints on the Rastall gravity from Rotation Curves of Low Surface Brightness Galaxies[J]. Chinese Physics C.
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沈阳化工大学材料科学与工程学院 沈阳 110142

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Observational constraints on Rastall gravity from rotation curves of low surface brightness galaxies

Corresponding author: Jiancheng Wang, jcwang@ynao.ac.cn
• 1. Yunnan Observatories, Chinese Academy of Sciences, 396 Yangfangwang, Guandu District, Kunming 650216, China
• 2. Key Laboratory of Particle Astrophysics, Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China
• 3. Key Laboratory for the Structure and Evolution of Celestial Objects, Chinese Academy of Sciences, 396 Yangfangwang, Guandu District, Kunming 650216, China
• 4. Center for Astronomical Mega-Science, Chinese Academy of Sciences, 20A Datun Road, Chaoyang District, Beijing 100012, China
• 5. University of Chinese Academy of Sciences, Beijing 100049, China

Abstract: 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 currently in dispute whether Rastall gravity is equivalent to general relativity (GR). In this work, we constrain the theory using the rotation curves of low surface brightness (LSB) spiral galaxies. By fitting the rotation curves of LSB galaxies, we obtain parameter $\beta$ of the Rastall gravity. The $\beta$ values of LSB galaxies satisfy the weak energy condition (WEC) and strong energy condition (SEC). Combining the $\beta$ values of type Ia supernovae and the gravitational lensing of elliptical galaxies on Rastall gravity, we conclude that Rastall gravity may be equivalent to general relativity.

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