The effect of gravity hypothesis

In this paper, we consider a hypothetical scenario where gravity results as an inertial effect of combine both, curvature of space-time and its hypothetical acceleration as a non-inertial frame of reference that follows the accelerated expansion of the universe. Thus, effect of gravity can be described by applying mainly classical mechanics concepts as an inertial effect due to the acceleration of space-time, where “field of gravity” concept is not involved. Then, we derive a general expression for accelerated curvature of space-time which, by applying some equivalent expressions, can be transformed to an approximated equivalent expression of the so-called “compact form of Einstein’s field equation”