Invarianza de las ecuaciones de movimiento bajo transformaciones de escala espacio-temporales en la dinámica de Newton modificada (MOND)

Abstract

The basic principles that originated the Modified Newtonian Dynamics MOND, are shown, as well as a description of the fundamentals aspects of the theory: modification of gravity and modification of inertia. Also, it is considered the behaviour of the movement equations under space-temporal scale transformations of the movement equations, that is, transformations that have the form $(t,\vec{r})\rightarrow(\lambda t, \vec{r})$. It was observed in this way that the MOND regime comes from the requirement of the invariance of the movement equations with respect to this transformations.