Dr. Alexandre Landry (Dalhousie University)
Perturbations and Spacetime Geometries in Teleparallel Gravity
We will first introduce the principles of Teleparallel Gravity and its outcomes. Next, we will present new teleparallel geometries of curved space-time obtained recently. Above all, we will present a recent and complete perturbation theory suitable for teleparallel gravity. The proposed perturbation scheme takes into account perturbations of the coframe, the metric, and the spin-connection, while ensuring that the resulting perturbed system continues to describe a teleparallel gravity situation. The resulting perturbation scheme can be transformed into one in which perturbations all take place within the co-frame. A covariant definition of a teleparallel Minkowski geometry is proposed. We found the perturbed field equations for f(T) teleparallel gravity and discuss the stability of the teleparallel Minkowski geometry within f(T) teleparallel gravity.
