Cosmological bouncing solutions in extended teleparallel gravity

Abstract

Teleparallel Gravity (TG) describes gravity as a force in terms of torsion rather than curvature with the use of the Weitzenbock connection instead of the Levi-Civita connection used in General Relativity (GR). In fact, TG can be constructed to be equivalent to GR. In this work, gravitational Lagrangian solutions were obtained in f(T,B) bouncing cosmology models with the flat Friedmann-Lemaître-RobertsonWalker metric, where T and B are the torsion scalar and the boundary term, respectively. Analytical solutions are obtained for symmetric, superbounce, oscillatory, matter and future/past singularity bounce scenarios. Some of the solutions realised Minkowski and Schwarzschild vacuum solutions, and viable models where evaluated to determine the possibility of f(T,B) gravity as a dynamical dark energy model instead of the ΛCDM model. Such results could open up prospects for f(T,B) bouncing cosmology as an alternative to the Big Bang cosmology with inflation.