Noether's second theorem in teleparallel gravity

TL;DR

This paper investigates gauge symmetries in teleparallel gravity, revealing how they influence matter coupling, especially showing that fermionic matter coupling is generally excluded in many teleparallel theories.

Contribution

It provides a detailed analysis of gauge symmetries and identities in teleparallel gravity, highlighting limitations on matter coupling, particularly for fermions.

Findings

Gauge symmetries impose constraints on matter coupling in teleparallel gravity.

Fermionic matter coupling is largely excluded in many teleparallel theories.

The analysis clarifies the role of Noether's second theorem in these theories.

Abstract

Gauge symmetries in teleparallel gravity, together with the identities among the dynamical equations they provide, are analyzed in relation to the way they condition the coupling between matter and gravity. Particularly, the coupling of fermionic matter seems to be excluded in a wide range of teleparallel theories.