Cosmological bouncing solutions in f(T,B) gravity

TL;DR

This paper investigates how extended f(T,B) teleparallel gravity can reproduce various cosmological bouncing scenarios, offering potential insights into early universe dynamics and alternative gravity models.

Contribution

It introduces the use of f(T,B) gravity to analytically model different cosmological bounce solutions in flat FLRW geometry, expanding the scope of teleparallel gravity applications.

Findings

Successfully reconstructs symmetric, oscillatory, and bounce solutions.

Identifies specific Lagrangians capable of producing these cosmological scenarios.

Suggests implications for gravitational phenomena at larger cosmological scales.

Abstract

Teleparallel Gravity offers the possibility of reformulating gravity in terms of torsion by exchanging the Levi-Civita connection with the Weitzenb\"ock connection which describes torsion rather than curvature. Surprisingly, Teleparallel Gravity can be formulated to be equivalent to general relativity for a appropriate setup. Our interest lies in exploring an extension of this theory in which the Lagrangian takes the form of $f(T,B)$ where T and B are two scalars that characterize the equivalency with general relativity. In this work, we explore the possible of reproducing well-known cosmological bouncing scenarios in the flat Friedmann-Lema\^itre-Robertson-Walker geometry using this approach to gravity. We study the types of gravitational Lagrangians which are capable of reconstructing analytical solutions for symmetric, oscillatory, superbounce, matter bounce, and singular bounce settings. These new cosmologically inspired models may have an effect on gravitational phenomena at other cosmological scales.