Geometric scalar theory of gravity

Abstract

The present article introduces a new scalar theory of gravity based on the Einstein’s assumption that gravitation is an expression of the geometrical structure of the spacetime. In the geometric scalar theory of gravity all kind of matter and energy interacts with the gravitational (scalar) field only through a metric structure that naturally arises with the non linear dynamics of the scalar field. This allows us to overcome the problems from the previous scalar theories and construct a new scalar theory for gravitation which is in accordance at least with the observational data coming from our solar system.