Abstract:

The central role in general relativity is played by the principle of equivalence, which states that gravity and inertia are locally indistinguishable, and it is hardcoded into general relativity through the use of the Levi-Civita geometry. In this talk, I will present an interesting work-around using teleparallel gravity, where it is possible to (non-locally) separate the problematic inertial contributions from gravity and define the purely gravitational action. Moreover, I will show how the proper understanding of these issues solves the long lasting problem of local Lorentz symmetry violations in teleparallel and f(T) gravities.