Cosmological bouncing solutions in extended teleparallel gravity theories

Understand

In the context of extended Teleparallel gravity theories with a 3+1 dimensions Gauss-Bonnet analog term, we address the possibility of these theories reproducing several well-known cosmological bouncing scenarios in a four-dimensional Friedmann-Lema\^itre-Robertson-Walker geometry.

• We shall study which types of gravitational Lagrangians are capable of reconstructing bouncing solutions provided by analytical expressions for symmetric, oscillatory, superbounce, the matter bounce and singular bounce.
• Some of the Lagrangians discovered are both analytical at the origin having Minkowski and Schwarzschild as vacuum solutions.
• All these results open the possibility up for such theories to be competitive candidates of extended theories of gravity in cosmological scales.