Weyl transverse diffeomorphism invariant theory of symmetric teleparallel gravity

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.

10 pages, v2: some clarification added, published version

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Cited by in corpus (4)

• Cosmology in $f(Q)$ gravity: A unified dynamical system analysis at background and perturbation levels
• Late-time cosmology with phantom dark-energy in $f(Q)$ gravity
• Conserved quantities in STEGR and applications
• Geometrical Trinity of Unimodular Gravity