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2019

General Teleparallel Quadratic Gravity

Jiménez, Jose Beltrán, Heisenberg, Lavinia, Iosifidis, Damianos et al.

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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 Weitzenb\"ock 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.

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D. Iosifidis, arXiv:1902.09643 [gr-qc]
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J. Beltran Jimenez, L. Heisenberg and T. S. Koivisto, arXiv:1903.06830 [hep-th]
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J. Beltran Jimenez, L. Heisenberg, T. S. Koivisto and S. Pekar, arXiv:1906.10027 [gr-qc]
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J. Beltran Jimenez and K. F. Dialektopoulos, arXiv:1907.10038 [gr-qc]
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