On spin connection and cosmological perturbations in teleparallel gravity


Seminar “Modern Mathematical Physics”

Date and Time: Tuesday, 3 November 2020, at 1:00 PM

Venue: Online conference in Zoom, Bogoliubov Laboratory of Theoretical Physics

Seminar topic: «On spin connection and cosmological perturbations in teleparallel gravity»

Authors: Petr V. Tretyakov (BLTP, JINR), Alexey V. Toporensky (SAI, MSU)

Speaker: A. V. Toporensky


We discuss general properties of teleparallel gravity and study small scalar cosmological perturbations in such kind of theory in linear order. We discuss problems which appear in standard approach to f(T) gravity, and find that these problems may be solved within covariant formulation of teleparallel gravity, which take into account spin connection. We calculate spin connection which symmetrize equation for perturbation and split diagonal and non-diagonal part of equation of motion. We demonstrate that there is a solution for spin connection, which lead to zero gravitational slip, however, in this case one additional equation appears, so the system may become over-determined. After that, we show that a more general solution exists, which is incompatible with zero slip, but allows to write down the equations of motion for cosmological perturbation in a selfconsistent way without additional equations to be satisfied.