Kalb-Ramond field induced cosmological bounce in generalized teleparallel gravity.

We consider a generalized teleparallel gravity setup in 3+1 dimensions appended by an action of the Kalb-Ramond field. With the appropriate generalization of the Fock-Ivanenko derivative operator for the KR field, we compute the equivalent of Einstein's equations by varying the action with respect to the tetrad. On the right-hand side, this gives the equivalent energy-momentum tensor of the anti-symmetric field as the source. With the setup in place, we also study the requirement to achieve bouncing cosmology. Models with bounces provide an elegant solution to the initial singularity in the Big Bang paradigm and, in some instances, could generate a scale-invariant power-law spectrum as well. Even though there have been immense efforts carried out in modified gravity theories with higher-order corrections and in braneworld scenarios, it is interesting to understand these phenomena in the teleparallel equivalent of General Relativity (TEGR) . We then explicitly compute the energy spectrum of the tensor field and the appropriate teleparallel gravity model for symmetric and matter bounce scenarios. And we show that the energy and pressure densities of the tensor field are indeed localized at t=0 as expected. (https://arxiv.org/abs/2112.11945)