General teleparallel quadratic gravity

被引:77
作者
Beltran Jimenez, Jose [1 ,2 ]
Heisenberg, Lavinia [3 ]
Iosifidis, Damianos [4 ]
Jimenez-Cano, Alejandro [5 ,6 ]
Koivisto, Tomi S. [7 ,8 ]
机构
[1] Univ Salamanca, Dept Fis Fundamental, E-37008 Salamanca, Spain
[2] Univ Salamanca, IUFFyM, E-37008 Salamanca, Spain
[3] Swiss Fed Inst Technol, Inst Theoret Phys, Wolfgang Pauli Str 27, CH-8093 Zurich, Switzerland
[4] Aristotle Univ Thessaloniki, Inst Theoret Phys, Dept Phys, Thessaloniki 54124, Greece
[5] Univ Granada, Fac Ciencias, Dept Fis Teor & Cosmos, Avda Fuentenueva S-N, Granada 18071, Spain
[6] Univ Granada, Fac Ciencias, CAFPE, Avda Fuentenueva S-N, Granada 18071, Spain
[7] Univ Tartu, Inst Phys, Lab Theoret Phys, W Ostwaldi 1, EE-50411 Tartu, Estonia
[8] NICPB, Ravala Pst 10, EE-10143 Tallinn, Estonia
基金
欧洲研究理事会; 欧盟地平线“2020”; 瑞士国家科学基金会;
关键词
D O I
10.1016/j.physletb.2020.135422
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
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. © 2020 The Author(s)
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页数:9
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