# Noether symmetries in Symmetric Teleparallel Cosmology

## TL;DR

This paper classifies symmetric teleparallel cosmological models using Noether symmetries, identifying invariant models and deriving analytical solutions to understand their dynamics.

## Contribution

It introduces a systematic classification of quadratic non-metricity models via Noether symmetries in symmetric teleparallel gravity, leading to analytical solutions.

## Key findings

- Identified models invariant under point transformations.
- Reduced complex dynamics to obtain analytical solutions.
- Provided a framework for analyzing symmetric teleparallel cosmologies.

## Abstract

We consider a general theory of all possible quadratic, first-order derivative terms of the non-metricity tensor in the framework of Symmetric Teleparallel Geometry. We apply the Noether Symmetry Approach to classify those models that are invariant under point transformations in a cosmological background and we use the symmetries of these models to reduce the dynamics of the system in order to find analytical solutions.