General teleparallel quadratic gravity
Abstract
In this Letter we consider a general quadratic paritypreserving 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 nonmetricity. 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 gaugefixed 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 rank2 fields plus a 2form and, consequently, extra gauge symmetries are required to obtain potentially viable theories.
 Publication:

Physics Letters B
 Pub Date:
 June 2020
 DOI:
 10.1016/j.physletb.2020.135422
 arXiv:
 arXiv:1909.09045
 Bibcode:
 2020PhLB..80535422B
 Keywords:

 General Relativity and Quantum Cosmology
 EPrint:
 12 pages, no figures