| Abstract: | On Possible Limits of a Gravitation Theory This work intends to answer the question why gravitational phenomena are described just by a theory which make use of a Riemannian metric tensor that has to be a solution of the known Einstein equations. The answer is thought of as a link from Maupertuis's principle to Einstein's equations, which appear as a transformed integrability condition. The metric tensor is first formally introduced and direction dependent (a Finslerian one) and then reduced to a Riemannian one by means of the condition of local Lorentz invariance. The construction seems to show that the gravity concept could not have a sense at the atomic level as a consequence of the central role which plays the particle-motion in the whole. |
