# Reflections on the covariance of modified teleparallel theories of gravity

## TL;DR

This paper reviews the Lorentz covariance in teleparallel and modified teleparallel gravity theories, discussing controversies and revisiting remnant Lorentz gauge symmetries in $f(T)$ gravity.

## Contribution

It provides a comprehensive review of the covariance issues and the gauge symmetry structure in modified teleparallel gravity theories.

## Key findings

- Analysis of Lorentz covariance status in teleparallel theories
- Discussion of controversial features in different approaches
- Revisiting remnant Lorentz gauge symmetries in $f(T)$ gravity

## Abstract

We review the current status of the Lorentz covariance in teleparallel and modified teleparallel theories of gravity, and discuss the controversial features of the different approaches. We also revisit the issue of the remnant Lorentz gauge symmetries in $f(T)$ gravity.