General teleparallel quadratic gravity
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Date
2020-04Referencia bibliográfica
Jiménez, J. B., Heisenberg, L., Iosifidis, D., Jiménez-Cano, A., & Koivisto, T. S. (2020). General teleparallel quadratic gravity. Physics Letters B, 135422. [DOI: 10.1016/j.physletb.2020.135422]
Patrocinador
Atraccion del Talento Cientifico en Salamancaprogramme; MINECO FIS2014-52837-P FIS2016-78859-P; European Research Council (ERC) 801781; Swiss National Science Foundation (SNSF) 179740; Estonian Research Council PRF project PRG356; European Union (EU) CoE TK133; CANTATA COST (European Cooperation in Science and Technology) action, EU Framework Programme Horizon 2020 CA15117; Spanish Ministry of Economy and Competitiveness FPU15/02864Résumé
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.