# On Reconstruction of Extended Teleparallel Gravity from the Cosmological Jerk Parameter

## TL;DR

This paper develops a reconstruction scheme for extended teleparallel gravity models using the cosmological jerk parameter, analyzing their cosmological behavior and stability over cosmic time.

## Contribution

It introduces a novel reconstruction method for extended teleparallel gravity based on the jerk parameter, enhancing understanding of cosmological solutions.

## Key findings

- Models fit observational data well
- Certain models exhibit stable behavior over cosmic time
- Analysis of perturbations supports model viability

## Abstract

Teleparallel gravity offers a path to resolve a number of longstanding issues in general relativity by re-interpreting gravitation as an artifact of torsion rather than curvature. The present work deals with cosmological solutions in an extension of teleparallel gravity. A reconstruction scheme of the theory has been proposed based on the cosmological jerk parameter. The work contains analysis of ensuing cosmological parameters for different viable models and the stability of the models against cosmic time through an investigation of perturbation of matter overdensity and the hubble parameter.