Speaker
Description
Mach’s principle can be implemented in general relativity by introducing a vector field, which we call the geometric drift vector, within the framework of teleparallel gravity and the tetrad formalism. We investigate the physical viability of the drift field, the Lorentz covariance of the theory, its limiting cases, and its consistency with current cosmological observations. The model provides a geometric origin for dark energy and dark matter interpretations, as well as for the relevant acceleration scale. Our analysis indicates that the drift-vector sector generates a negative effective pressure at the background level and exhibits dark energy like behavior. In this way, gravity may be related not only to the mere existence of spacetime, but also to its dynamical/kinematic state. This point of view gives a rise on novel interpretation of main physical constants, cosmological phenomena, inertia and more. Moreover, differences from well-known modified gravity theories are also discussed. The proposed Lagrangian contains nonlinear tensor scalar contributions as a special subclass, while in its most general form it accounts for the impact of mismatches between the torsion tensor (or torsion vector) and the observer.