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Einstein and Rastall theories of gravitation in comparison

F. DarabiDepartment of Physics, Azarbaijan Shahid Madani University, Tabriz, IranH. MoradpourResearch Institute for Astronomy and Astrophysics of Maragha (RIAAM), Maragha, 55134-441, IranIgnazio LicataISEM, Institute for Scientific Methodology, Palermo, PA, ItalyY. HeydarzadeDepartment of Physics, Azarbaijan Shahid Madani University, Tabriz, IranChristian CordaResearch Institute for Astronomy and Astrophysics of Maragha (RIAAM), Maragha, 55134-441, Iran
2018en
ABI

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We profit by a recent paper of Visser claiming that Rastall gravity is equivalent to Einstein gravity to compare the two gravitational theories in a general way. Our conclusions are different from Visser’s ones. We indeed argue that these two theories are not equivalent. In fact, Rastall theory of gravity is an “open” theory when compared to Einstein general theory of relativity. Thus, it is ready to accept the challenges of observational cosmology and quantum gravity.

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