Weyl transverse diffeomorphism invariant theory of symmetric teleparallel gravity

TL;DR

This paper develops a Weyl transverse diffeomorphism invariant model of symmetric teleparallel gravity, which at low energies describes a pure spin-two graviton and is equivalent to unimodular gravity and Einstein gravity.

Contribution

It introduces a novel Weyl invariant formulation of symmetric teleparallel gravity using the Weyl compensator formalism, linking it to unimodular and Einstein gravity.

Findings

The theory describes a single spin-two graviton without scalar modes.

It is equivalent to unimodular gravity at the non-linear level.

The model maintains Weyl transverse diffeomorphism invariance.

Abstract

We construct a Weyl transverse diffeomorphism invariant theory of symmetric teleparallel gravity by employing the Weyl compensator formalism. The low-energy dynamics has a single spin two gravition without a scalar degree of freedom. By construction, it is equivalent to the unimodular gravity (as well as the Einstein gravity) at the non-linear level.