Abstract
In this Letter we consider a general quadratic parity-preserving theory for a general flat connection. Imposing a local symmetry under the general linear group singles out the general teleparallel equivalent of General Relativity carrying both torsion and non-metricity. We provide a detailed discussion on the teleparallel equivalents of General Relativity and how the two known equivalents, formulated on Weitzenböck and symmetric teleparallel geometries respectively, can be interpreted as two gauge-fixed versions of the general teleparallel equivalent. We then explore the viability of the general quadratic theory by studying the spectrum around Minkowski. The linear theory generally contains two symmetric rank-2 fields plus a 2-form and, consequently, extra gauge symmetries are required to obtain potentially viable theories. Show more
Permanent link
https://doi.org/10.3929/ethz-b-000411491Publication status
publishedExternal links
Journal / series
Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy PhysicsVolume
Pages / Article No.
Publisher
ElsevierOrganisational unit
09662 - Heisenberg, Lavinia (ehemalig) / Heisenberg, Lavinia (former)
Funding
179740 - Multimessenger constraints of modified gravity (SNF)
More
Show all metadata