Speaker
Description
This project has as its general objective the extension of the classical formulation of gravity, considering it not only as a geometric theory but as a consequence of the laws of thermodynamics applied to accelerated observers. The general case involving curvature, torsion, and non-metricity was addressed and allowed us to generalize the famous T. Jacobson's result in which he identifies the gravitational interaction as a consequence of thermodynamics on pseudo-Riemannian manifolds. Our results lead us to conclude that, in an arbitrary number of dimensions, the non metricity does not contribute to the gravitational field equations but the curvature and torsion do, i. e., that, in a gauge formulation of gravity, transformations belonging to ISO_o(3,1) are the ones to be localized. This result indicates that Einstein-Cartan is the description of the gravitational interaction selected by T. Jacobson's thermodynamical formulation.
