Non-local MoNDian or Extended Theories

Along with the f(R) theories, we compare four models of the extended gravitation theory that take the Milgrom constant as fundamental (Modified Gravity Theories (MoND)), proposing alternative covariant models to the dark matter hypothesis. Two of them are non-local and assume mass as a function of density. Data obtained from the work of Barrientos and Mendoza in metric and extended platinum theories (2016, 2018); Carranza, Mendoza and Torres (2018); and the article by Sotiriou Faraoni, f(R) theories of gravity.